Análisis Matemático

UNIVERSIDAD CATLICA SANTO TORIBIO DE MOGROVEJO

LABORATORIO N02

DOCENTE:Lic. Yovanna Huertas Llncor

BRIGADA N 3 : Barandiarn Meoo, Amado Miguel

Briones Samam, Danny Csar

Guevara Arteaga, William Eleodoro

Hernndez Vsquez, Einstein

ASIGNATURA: Anlisis Matemtico IV

FECHA DE PRESENTACIN:

Lunes 21 de Octubre del 2013

FACULTAD DE INGENIERIA ESCUELA DE INGENIERA CIVIL Y AMBIENTAL

LABORATORIO N 02

SOLUCIN

ITERACIN a b f(a) f(b) xr f(xr) ep

1 0.4 0.5 -80 200 0.42857143 0 2 0.4 0.5 -80 200 0.42857143 0 0

ITERACIN a b f(a) f(b) xr f(xr) ep

1 0.39 0.53 -75 110.9375 0.44647059 0.1252941 2 0.39 0.446470588 -75 10058.33 0.39041796 -75.231777 14.35708

3 0.390417957 0.446470588 -75.2317767 10058.33 0.39083409 -75.461636 0.106474

4 0.390834092 0.446470588 -75.4616364 10058.33 0.39124839 -75.689475 0.105892

5 0.391248391 0.446470588 -75.6894751 10058.33 0.39166084 -75.915186 0.105307

6 0.391660838 0.446470588 -75.9151859 10058.33 0.39207141 -76.138659 0.10472

7 0.392071415 0.446470588 -76.1386593 10058.33 0.39248011 -76.359783 0.104131

8 0.392480107 0.446470588 -76.3597832 10058.33 0.3928869 -76.578443 0.103539

9 0.392886898 0.446470588 -76.5784428 10058.33 0.39329177 -76.794521 0.102945

10 0.393291771 0.446470588 -76.7945206 10058.33 0.39369471 -77.007896 0.102348

11 0.393694711 0.446470588 -77.0078964 10058.33 0.3940957 -77.218447 0.101749

El primer cuadro toma intervalos ms cercanos al resultado, resultado sin embargo de la

ecuacin 7x-3=0, debido a que la grfica no corta a y=0 en ningn punto. El otro intervalo no

converge a solucin alguna.

SOLUCIN

SOLUCIN

a) ;

ITERACIN x g(x) ep

1 1 0.25 2 0.25 0.64 300

3 0.64 0.371802499 60.9375

4 0.371802499 0.531394214 72.1344

5 0.531394214 0.426408641 30.03264073

6 0.426408641 0.491487049 24.6208831

7 0.491487049 0.449532429 13.2411237

8 0.449532429 0.475931147 9.332946179

9 0.475931147 0.459058258 5.546751583

10 0.459058258 0.469736962 3.675544354

11 0.469736962 0.462935801 2.273336964

12 0.462935801 0.467250166 1.469136975

13 0.467250166 0.464506361 0.923352289

14 0.464506361 0.46624853 0.590692616

15 0.46624853 0.465141213 0.3736567

16 0.465141213 0.465844563 0.238060435

17 0.465844563 0.465397621 0.150983827

18 0.465397621 0.465681554 0.096034261

19 0.465681554 0.465501147 0.060971408

20 0.465501147 0.465615763 0.038755366

21 0.465615763 0.465542941 0.02461593

22 0.465542941 0.465589207 0.015642448

23 0.465589207 0.465559812 0.009937189

24 0.465559812 0.465578488 0.006314003

b) ;

ITERACIN x g(x) ep

1 0 1.224744871 2 1.224744871 0.202041029 100

3 0.202041029 0.692088156 506.1862178

4 0.692088156 0.349264165 70.8070385

5 0.349264165 0.549295483 98.15607346

6 0.549295483 0.416611727 36.41597717

7 0.416611727 0.498308545 31.84830072

8 0.498308545 0.445448486 16.3948258

9 0.445448486 0.478624321 11.86670528

10 0.478624321 0.457387519 6.931497845

11 0.457387519 0.470814585 4.643065391

12 0.470814585 0.46225769 2.851879831

13 0.46225769 0.467683634 1.851109401

14 0.467683634 0.464232025 1.16017403

15 0.464232025 0.466423257 0.743509304

16 0.466423257 0.465030374 0.469794659

17 0.465030374 0.465915053 0.29952509

18 0.465915053 0.465352864 0.189879849

19 0.465352864 0.465710002 0.120809224

20 0.465710002 0.465483078 0.07668676

c) ;

ITERACIN x g(x) ep

1 0 0.5 2 0.5 0.500019039 100

3 0.500019039 0.500019041 0.003807694

SOLUCIN

a)

ITERACIN x g(x) ep

1 1.5 1.709975947 2 1.709975947 0.500222759 12.27946785

3 0.500222759 0.500019056 241.8428919

4 0.500019056 0.500019041 0.040739086

5 0.500019041 0.500019041 3.10341E-06

6 0.500019041 0.500019041 2.3638E-10

b)

ITERACIN x g(x) ep

1 1.5 1.825742 2 1.82574186 0.500254 17.84162

3 0.50025396 0.500019 264.963

4 0.50001906 0.500019 0.046978

5 0.50001904 0.500019 3.58E-06

6 0.50001904 0.500019 2.73E-10

c)

ITERACIN x g(x) ep

1 1.5 2.222222222 2 2.222222 0.500376307 32.5

3 0.500376 0.500019068 344.1102

4 0.500019 0.500019041 0.071445

5 0.500019 0.500019041 5.44E-06

6 0.500019 0.500019041 4.15E-10

La ecuacin a) converge relativamente ms rapido que las otras dos, pero todas son

aplicables.

a)

ITERACIN Xi F(Xi) F'(xi) Xi+1 Ep

1 0.8 -0.219567257 4.005973671 0.85481 6.41194683

2 0.85480996 0.009596301 4.360523869 0.852609 0.25811613

3 0.852609238 1.62363E-05 4.345775755 0.852606 0.0004382

4 0.852605502 4.67018E-11 4.345750755 0.852606 1.2604E-09

5 0.852605502 0 4.345750755 0.852606 0

b)


1 1 -0.99969539 1.034904813 1.965978 49.1347336

2 1.965978105 -0.032844643 1.068612116 1.996714 1.53931891

3 1.9967139 -0.002071754 1.069684357 1.998651 0.09690488

4 1.99865069 -0.000132607 1.069751922 1.998775 0.00620184

5 1.998774651 -8.49559E-06 1.069756247 1.998783 0.00039732

6 1.998782592 -5.44308E-07 1.069756524 1.998783 2.5456E-05

c)


1 0 1 -5 0.2 100

2 0.2 0.008 -4.92 0.201626 0.80645161

3 0.201626016 6.66313E-05 -4.9186939 0.20164 0.0067182

4 0.201639563 5.50819E-07 -4.91868297 0.20164 5.5537E-05

5 0.201639675 4.55316E-09 -4.91868288 0.20164 4.5908E-07

6 0.201639676 3.7637E-11 -4.91868288 0.20164 3.7948E-09

SOLUCIN

a)

; ; ;

N Xi Yi du/dx du/dy dv/dx dv/dy JACOBIANO Ui Vi

1 1.1 0.8 4.4 -1 1 8.8 39.72 1.62 -0.26

2 0.747633434 0.86958711 2.990533736 -1 1 5.98106747 18.8865841 0.248324 -0.49618

3 0.695265037 0.961302046 2.781060149 -1 1 5.5621203 16.4685911 0.005485 -0.38063

4 0.716525245 1.025912862 2.866100982 -1 1 5.73220196 17.4290697 0.000904 -0.23098

5 0.729480365 1.063947536 2.917921461 -1 1 5.83584292 18.0285313 0.000336 -0.13854

6 0.737055933 1.086388117 2.948223731 -1 1 5.89644746 18.3840463 0.000115 -0.0827

7 0.741517853 1.099657634 2.96607141 -1 1 5.93214282 18.5951592 3.98E-05 -0.04924

8 0.744152895 1.107513175 2.97661158 -1 1 5.95322316 18.720433 1.39E-05 -0.02926

9 0.745711566 1.112166621 2.982846265 -1 2 5.96569253 19.7947437 4.86E-06 -0.01737

10 0.746587802 1.114785155 2.986351206 -1 3 5.97270241 20.8365871 1.54E-06 -0.01067

11 0.747099262 1.116314091 2.988397047 -1 4 5.97679409 21.8610338 5.23E-07 -0.00674

12 0.747407594 1.117236033 2.989630376 -1 5 5.97926075 22.8757796 1.9E-07 -0.00438

13 0.747598841 1.11780798 2.990395363 -1 6 5.98079073 23.8849288 7.32E-08 -0.00291

14 0.747720509 1.11817189 2.990882036 -1 7 5.98176407 24.8907507 2.96E-08 -0.00197

15 0.747799693 1.118408748 2.991198771 -1 8 5.98239754 25.8945402 1.25E-08 -0.00136

16 0.747852295 1.118566104 2.991409179 -1 9 5.98281836 26.8970577 5.53E-09 -0.00096

x y Xi+1 Yi+1 epx epy

0.352367 -0.06959 0.747633 0.86958711

0.052368 -0.09171 0.695265 0.961302046 47.13093 8.002316

-0.02126 -0.06461 0.716525 1.025912862 7.532149 9.540699

-0.01296 -0.03803 0.72948 1.063947536 2.967126 6.297885

-0.00758 -0.02244 0.737056 1.086388117 1.775938 3.574864

-0.00446 -0.01327 0.741518 1.099657634 1.027814 2.065614

-0.00264 -0.00786 0.744153 1.107513175 0.601728 1.206695

-0.00156 -0.00465 0.745712 1.112166621 0.3541 0.709296

-0.00088 -0.00262 0.746588 1.114785155 0.209018 0.418413

-0.00051 -0.00153 0.747099 1.116314091 0.117365 0.234891

-0.00031 -0.00092 0.747408 1.117236033 0.068459 0.136963

-0.00019 -0.00057 0.747599 1.11780798 0.041254 0.08252

-0.00012 -0.00036 0.747721 1.11817189 0.025581 0.051167

-7.9E-05 -0.00024 0.7478 1.118408748 0.016272 0.032545

-5.3E-05 -0.00016 0.747852 1.118566104 0.010589 0.021178

-3.6E-05 -0.00011 0.747888 1.118672604 0.007034 0.014068

b)

; ; ;


1 3.7 0.9 1.20429031 3.7 -7.18977 1 27.8064366 -0.02683 0.663331

2 3.78922965 0.878209169 1.177592673 3.78922965 -7.34174 1 28.997128 -0.00217 0.630225

3 3.87165961 0.853163489 1.14821886 3.87165961 -7.47983 1 30.1075765 -0.00224 0.594517

4 3.948185621 0.831047802 1.122248621 3.948185621 -7.60593 1 31.1518622 -0.00184 0.562327

5 4.019513996 0.81123939 1.098980212 4.019513996 -7.72153 1 32.1357728 -0.00154 0.532978

6 4.086226186 0.793381922 1.077995837 4.086226186 -7.82787 1 33.06445 -0.0013 0.506067

7 4.148807065 0.777189538 1.058960983 4.148807065 -7.92599 1 33.9423703 -0.0011 0.481271

8 4.2076658 0.762431951 1.041606258 4.2076658 -8.01676 1 34.7734677 -0.00095 0.458325

9 4.263151301 0.748921218 1.025711858 4.263151301 -8.10094 1 35.5612256 -0.00082 0.43701

10 4.315563865 0.736502207 1.011096373 4.315563865 -8.17915 1 36.3087488 -0.00071 0.417144

11 4.365164088 0.725045557 0.997608545 4.365164088 -8.25197 1 37.0188215 -0.00062 0.398576

12 4.412179809 0.714442411 0.985121091 4.412179809 -8.31989 1 37.6939529 -0.00054 0.381173

13 4.456811561 0.704600402 0.973526005 4.456811561 -8.38332 1 38.336415 -0.00048 0.364825

14 4.499236926 0.695440562 0.962730943 4.499236926 -8.44266 1 38.948274 -0.00042 0.349436

15 4.53961403 0.686894916 0.952656406 4.53961403 -8.49825 1 39.5314157 -0.00038 0.334921

16 4.578084399 0.67890458 0.94323352 4.578084399 -8.55037 1 40.0875673 -0.00034 0.321207

17 4.614775283 0.67141825 0.934402266 4.614775283 -8.59932 1 40.6183155 -0.0003 0.30823


-0.08923 0.021791 3.78923 0.878209169 -0.08243 0.025046 3.87166 0.853163489 2.354823 2.48128

-0.07653 0.022116 3.948186 0.831047802 2.12906 2.935625

-0.07133 0.019808 4.019514 0.81123939 1.938258 2.661181

-0.06671 0.017857 4.086226 0.793381922 1.774552 2.441747

-0.06258 0.016192 4.148807 0.777189538 1.632611 2.250803

-0.05886 0.014758 4.207666 0.762431951 1.508407 2.083454

-0.05549 0.013511 4.263151 0.748921218 1.398845 1.935594

-0.05241 0.012419 4.315564 0.736502207 1.301514 1.804026

-0.0496 0.011457 4.365164 0.725045557 1.214501 1.686215

-0.04702 0.010603 4.41218 0.714442411 1.136274 1.580128

-0.04463 0.009842 4.456812 0.704600402 1.065589 1.484115

-0.04243 0.00916 4.499237 0.695440562 1.001428 1.396821

-0.04038 0.008546 4.539614 0.686894916 0.942946 1.317128

-0.03847 0.00799 4.578084 0.67890458 0.889439 1.244098

-0.03669 0.007486 4.614775 0.67141825 0.840316 1.176945

-0.03503 0.007027 4.649802 0.664390985 0.795074 1.115002

a)

La matriz no es de diagonal estrictamente dominante, el criterio no converge.

b)

La matriz no es de diagonal estrictamente dominante, el criterio no converge

SOLUCIN

MTODO DE PUNTO FIJO

;

ITERACIN X Y ex ey

1 1.5 1.5

2 1.25 1.23 20 21.82741

3 1.107847656 1.09 12.83139816 12.84772

4 1.041776477 1.03 6.342164582 5.608989

5 1.0152644 1.01 2.611347084 2.120049

6 1.005425063 1.00 0.978624661 0.757365

7 1.001903965 1.00 0.351440652 0.265287

8 1.000664383 1.00 0.123875904 0.092331

9 1.000231218 1.00 0.043306429 0.032073

10 1.000080368 1.00 0.015083845 0.011136

11 1.000027918 1.00 0.005244846 0.003866

12 1.000009695 1.00 0.001822244 0.001342

MTODO DE NEWTON RAPHSON

; ; ;


1 1.5 1.5 -7 3 3.25 -8.5 49.75 -2.5 -2.125

2 0.944723618 1.037688442 -8.110552764 2.075376884 2.076797 -9.0552764 69.1331598 0.522064 -0.41488

3 1.000650321 1.004698115 -7.998699358 2.009396229 2.009418 -8.9993497 67.9453749 0.004216 -0.03626

4 1.000136524 1.000554647 -7.999726953 2.001109294 2.00111 -8.9998635 67.9920114 1.74E-05 -0.00416

5 1.000016288 1.000065276 -7.999967424 2.000130551 2.000131 -8.9999837 67.9990543 2.54E-07 -0.00049

6 1.00000192 1.00000768 -7.999996161 2.00001536 2.000015 -8.9999981 67.9998887 3.52E-09 -5.8E-05

7 1.000000226 1.000000904 -7.999999548 2.000001807 2.000002 -8.9999998 67.9999869 4.88E-11 -6.8E-06


0.555276 0.462312 0.944724 1.037688442

-0.05593 0.03299 1.00065 1.004698115 58.7766 44.55206

0.000514 0.004143 1.000137 1.000554647 5.589036 3.283606

0.00012 0.000489 1.000016 1.000065276 0.051373 0.414117

1.44E-05 5.76E-05 1.000002 1.00000768 0.012023 0.048934

1.69E-06 6.78E-06 1 1.000000904 0.001437 0.00576

1.99E-07 7.97E-07 1 1.000000106 0.000169 0.000678

SOLUCIN

MTODO DE GAUSS-SEIDEL

N x1 x2 x3 x1,i+1 x2,i+1 x3,i+1 ep1 ep2 ep3

0 0.7 -1.6 0.6 0.96 -1.912 0.9816

1 0.96 -1.912 0.9816 0.98424 -1.993168 1.0011024 27.08333333 16.3179916 38.8753056

2 0.98424 -1.993168 1.0011024 0.99852336 -1.99992515 1.00027287 2.462813948 4.07231101 1.94809242

3 0.99852336 -1.99992515 1.00027287 0.99995774 -2.00004612 1.00002229 1.430448257 0.33787024 0.08293001

4 0.99995774 -2.00004612 1.00002229 1.000007 -2.00000586 1.00000036 0.143444366 0.00604843 0.02505796

5 1.000007 -2.00000586 1.00000036 1.00000114 -2.0000003 0.99999986 0.004925244 0.00201332 0.00219305

6 1.00000114 -2.0000003 0.99999986 1.00000007 -1.99999999 0.99999998 0.000586024 0.00027791 4.954E-05

7 1.00000007 -1.99999999 0.99999998 1 -2 1 0.000106209 1.5575E-05 1.1897E-05

8 1 -2 1 1 -2 1 7.41963E-06 4.4773E-07 1.7526E-06

9 1 -2 1 1 -2 1 3.83413E-09 1.7564E-07 1.0462E-07

10 1 -2 1 1 -2 1 5.97942E-08 1.6441E-08 2.0942E-09

11 1 -2 1 1 -2 1 6.78586E-09 4.6918E-10 1.0757E-09

12 1 -2 1 1 -2 1 2.95219E-10 7.8049E-11 1.0589E-10

13 1 -2 1 1 -2 1 2.06279E-11 1.2634E-11 3.4417E-12

14 1 -2 1 1 -2 1 4.70735E-12 8.4377E-13 4.2188E-13

15 1 -2 1 1 -2 1 3.77476E-13 2.2204E-14 8.8818E-14

16 1 -2 1 1 -2 1 0 0 0

17 1 -2 1 1 -2 1 0 0 0

I) JACOBI

Iteracion x y xi yi epx epy

1 0 0 3.75 1.8 2 3.75 1.8 4.2 1.05 100 100

3 4.2 1.05 4.0125 0.96 10.71429 71.4285714

4 4.0125 0.96 3.99 0.9975 4.672897 9.375

5 3.99 0.9975 3.999375 1.002 0.56391 3.7593985

GAUSS-SEIDEL

Iteracion x y xi yi epx epy

1 0 0 3.75 1.05 2 3.75 1.05 4.0125 0.9975 100 100

3 4.0125 0.9975 3.999375 1.000125 6.542056 5.26315789

4 3.999375 1.000125 4.00003125 0.99999375 0.328176 0.26246719

5 4.00003125 0.99999375 3.999998438 1.000000313 0.016406 0.01312508

II)

JACOBI

Iteracion x y z xi yi zi epx epy epz

1 0 0 0 2 1.375 0.75

2 2 1.375 0.75 2.125 0.96875 0.90625 100 100 100

3 2.125 0.96875 0.90625 2.0125 0.957031 1.0390625 5.88235294 41.93548 17.24138

4 2.0125 0.95703125 1.0390625 1.98359375 1.001758 1.01386719 5.59006211 1.22449 12.78195

5 1.98359375 1.001757813 1.013867188 1.997578125 1.005835 0.99545898 1.45726664 4.464808 2.48507

GAUSS-SEIDEL

Iteracion x y z xi yi zi epx epy epz

1 0 0 0 2 0.875 1.03125

2 2 0.875 1.03125 1.96875 1.011719 0.98925781 100 100 100

3 1.96875 1.01171875 0.989257813 2.004492188 0.997534 1.0017395 1.58730159 13.51351 4.244817

4 2.004492188 0.99753418 1.001739502 1.999158936 1.000428 0.99968281 1.78310436 1.421963 1.246002

5 1.999158936 1.000427704 0.999682808 2.000148979 0.999923 1.00005647 0.26677479 0.289229 0.205735

SOLUCIN

PUNTO FIJO

;

ITERACIN X Y ex ey

1 -0.2 1

2 -0.23 0.99 13.04347826 0.667882

3 -0.22023275 0.99 4.434969077 0.055659

4 -0.22270812 0.99 1.111487794 0.013877

5 -0.22209095 0.99 0.27789241 0.003474

6 -0.22224547 0.99 0.069528371 0.000869

7 -0.22220682 0.99 0.017392917 0.000217

8 -0.22221649 0.99 0.004351127 5.44E-05

9 -0.22221407 0.99 0.001088495 1.36E-05

NEWTON RAPHSON

; ; ;


1 -0.2 1 -2.4 -1 -0.4 8 -19.6 -0.06 0.04

2 -0.22244898 0.993877551 -2.444897959 -1 -0.4449 7.95102041 -19.884332 0.000504 0.000654

3 -0.222214581 0.993808426 -2.444429162 -1 -0.44443 7.95046741 -19.878784 5.49E-08 7.41E-08

4 -0.222214555 0.993808419 -2.44442911 -1 -0.44443 7.95046735 -19.878783 6.66E-16 0


0.022449 0.006122 -0.22245 0.993877551

-0.00023 6.91E-05 -0.22221 0.993808426 10.09174 0.616016

-2.6E-08 7.88E-09 -0.22221 0.993808419 0.105483 0.006956

-2.7E-16 -1.5E-17 -0.22221 0.993808419 1.16E-05 7.93E-07

SOLUCIN

; ;


1 -0.3 -0.1 -0.6 -1 -1 -0.2 -0.88 -0.01 0.01

2 -0.286363636 -0.11818182 -0.572727273 -1 -1 -0.2363636 -0.8646281 0.000186 0.000331

3 -0.286032134 -0.11818573 -0.572064267 -1 -1 -0.2363715 -0.8647803 1.1E-07 1.53E-11

4 -0.286032164 -0.1181856 -0.572064327 -1 -1 -0.2363712 -0.8647805 9.16E-16 1.62E-14

N x1 x2 x3 x4 x1,i+1 x2,i+1 x3,i+1 x4,i+1 ep1 ep2 ep3 ep4

0 0.00000 0.00000 0.00000 0.00000 0.00000 1.00000 0.87500 5.00000

1 0.00000 1.00000 0.87500 5.00000 0.97500 1.97917 3.50000 4.68750 #DIV/0! 100.00000 100.00000 100.00000

2 0.97500 1.97917 3.50000 4.68750 1.24167 2.20208 3.34427 3.92431 100.00000 49.47368 75.00000 6.66667

3 1.24167 2.20208 3.34427 3.92431 1.01330 2.00448 2.95720 3.86866 21.47651 10.12299 4.65660 19.44789

4 1.01330 2.00448 2.95720 3.86866 0.96428 1.96876 2.93323 4.00417 22.53709 9.85781 13.08891 1.43828

5 0.96428 1.96876 2.93323 4.00417 0.99373 1.99552 3.00264 4.02229 5.08381 1.81451 0.81736 3.38411

6 0.99373 1.99552 3.00264 4.02229 1.00588 2.00520 3.01137 4.00135 2.96367 1.34094 2.31180 0.45049

7 1.00588 2.00520 3.01137 4.00135 1.00150 2.00114 3.00059 3.99626 1.20842 0.48278 0.28969 0.52326

8 1.00150 2.00114 3.00059 3.99626 0.99914 1.99922 2.99808 3.99946 0.43723 0.20296 0.35920 0.12745

9 0.99914 1.99922 2.99808 3.99946 0.99966 1.99973 2.99974 4.00059 0.23640 0.09581 0.08362 0.08009

10 0.99966 1.99973 2.99974 4.00059 1.00012 2.00011 3.00030 4.00014 0.05225 0.02549 0.05525 0.02826

11 1.00012 2.00011 3.00030 4.00014 1.00007 2.00005 3.00007 3.99991 0.04556 0.01888 0.01879 0.01121

12 1.00007 2.00005 3.00007 3.99991 0.99999 1.99999 2.99995 3.99997 0.00524 0.00283 0.00780 0.00582

13 0.99999 1.99999 2.99995 3.99997 0.99999 1.99999 2.99998 4.00001 0.00820 0.00345 0.00390 0.00143

14 0.99999 1.99999 2.99998 4.00001 1.00000 2.00000 3.00001 4.00001 0.00019 0.00019 0.00101 0.00112

15 1.00000 2.00000 3.00001 4.00001 1.00000 2.00000 3.00000 4.00000 0.00142 0.00061 0.00075 0.00015

16 1.00000 2.00000 3.00000 4.00000 1.00000 2.00000 3.00000 4.00000 0.00009 0.00002 0.00011 0.00020

17 1.00000 2.00000 3.00000 4.00000 1.00000 2.00000 3.00000 4.00000 0.00024 0.00010 0.00014 0.00001

SOLUCIN

;

ITERACIN X Y ex ey

1 1 1.4

2 0.993310962 1.42 0.673408 1.17239769

3 1.0011292 1.41 0.780942 0.19755824

4 0.999812207 1.41 0.131724 0.03286522

5 1.00003131 1.41 0.02191 0.00547923

6 0.999994782 1.41 0.003653 0.00091316

7 1.00000087 1.41 0.000609 0.00015219

8 0.999999855 1.41 0.000101 2.5366E-05

9 1.000000024 1.41 1.69E-05 4.2276E-06

Análisis Matemático

Documents

Transcript of Análisis Matemático