Solve each IVP using Laplace transform method: 1. y''+0.04y=0.02t^2 y(0)=-25 y'(0)= 0 2. y''+2y'+5y=50t-100 y(2)= -4...

Solve each IVP using Laplace transform method:

1. y''+0.04y=0.02t^2 y(0)=-25 y'(0)= 0

2. y''+2y'+5y=50t-100 y(2)= -4 y'(2)= 14

Expert Solution

Colby Messinger answered 1 day ago

Use laplace transform to solve IVP 2y”+3y’+y=8e^(-2t) , y(0)=-4 , y’(0)=2

Use the Laplace transform to solve the IVP: y^'''+y^''+3y^'-5y =16e^(-t); y(0)=0; y'(0)=2; y^'' (0)= -4

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