Laplace
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EJERCICIOS TRANSFORMADA DE LAPLACE NOMBRE: MIRKO FERNANDO FLORES JIMENEZ BLOQUE I a) 1 ( s+ 3)( s+7 ) = A s+ 3 + B s +7 = A ( s +7 ) + B ( s+3) ( s+3)( s + 7) = s ( A +B) +7 A +3 B ( s+ 3)( s+7 ) A + B=0 ;A =−B 7 A +3 B=1 ;A= 1 4 ;B= −1 4 1 4 ( 1 s+3 ) − 1 4 ( 1 s+7 ) = e −3 t 4 − e −7t 4 e) 1 s 2 ( s 2 +16 ) = A s + B s 2 + Cs+ D s 2 +16 = As ( s 2 + 16 ) +B ( s 2 +16 ) +s 2 ( Cs + D) s 2 ( s 2 +16 ) s 3 ( A +C ) +s 2 ( B+ D ) +s ( 16 A ) +16 B s 2 (s 2 +16 ) A + C= 0 ;A =−C B+ D=0 ;B=−D 16 A =0 ;A =0 16 B=1 ;B= 1 16 ;D= −1 16 ;C=0 0 s + 1 16 ( 1 s 2 ) + ( 0 ) s− 1 16 s 2 +16 = t 16 − 1 64 sin4 t h) 4 s ( s−1)( s +1) 2 = A s−1 + B s+1 + C ( s+1) 2 = As 2 + 2 sA +A +Bs 2 −B + 5 C−C ( s−1)( s +1) 2 s 2 ( A +B ) + 5 ( 2 A + C ) + A−B−C ( s−1)( s+1 ) 2 A + B=0 ;A =−B
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Transcript of Laplace
EJERCICIOS TRANSFORMADA DE LAPLACENOMBRE: MIRKO FERNANDO FLORES JIMENEZBLOQUE Ia)
e)
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BLOQUE IIa)
e)
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