Differential equations 7.2 Inverse transforms and transforms of derivatives Use Laplace Transforms to solve the initial...

Question

Question

Differential equations 7.2 Inverse transforms and transforms of derivatives

Use Laplace Transforms to solve the initial value problem y – 2y+5y=-25x , y(0)=2, and y(0)=3.

TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear

Answer 1

Answer #1

+ &- Lyx)) = -2L - 26 () - 5K ( 22 ) 2 +2 L (8-1) 4L-1 16-1270 L-14 x)) 602+02 y (x) (222) cos( wa) = x (3) 1, 2-1 L-1 s-

Answer 2

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