Question

In: Advanced Math

y'' - y = e^(-t) - (2)(t)(e^(-t)) y(0)= 1 y'(0)= 2 Use Laplace Transforms to solve....

y'' - y = e^(-t) - (2)(t)(e^(-t)) y(0)= 1 y'(0)= 2

Use Laplace Transforms to solve. Sketch the solution or use matlab to show the graph.

Expert Solution

take Laplace

here we have y(0)=1 and y'(0)=2

take partial fraction

........................(1)

......................(2)

take s=-1

.

take s=1

.

put both constant in equation 2

.

compare coefficient both sides

.

apply Laplace rule

Colby Messinger answered 2 years ago

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