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Mathematics, 02.06.2020 20:57 mattiemattoos

Consider the initial value problem y′+2y=4t, y(0)=8.

a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s).
b. Solve your equation for Y(s).
c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t).

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Consider the initial value problem y′+2y=4t, y(0)=8.

a. Take the Laplace transform of...
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