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## Homework Statement

Use the Laplace transform to solve the following initial value problem:

x' = 7 x + 5 y, y'= -2 x + e

^{5t}, x(0)=0, y(0)=0

Find the expressions you obtain by taking the Laplace transform of both differential equations and solving for Y(s) and X(s)

## Homework Equations

## The Attempt at a Solution

I'm confused on how to deal with the the x and y in each equation. We didn't do an example like this in class so I'm a little lost. We did it with one equation, but not two. Any help would be greatly appreciated!

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