Finally, we are going to practice the last step. Solving a differential equation using the Laplace transform, you find Y(s) = L{y} to be 10 1 - 4s Y(s) = %3D g2 + 25 4 82 + 9 Find y(t). y(t) = To solve an initial value problem using the Laplace transform takes three steps. 1. Take the Laplace transform of both sides of your ODE. This transforms your ODE into an ALGEBRAIC equation! 2. Solve the resulting algebraic equation for Y(s) 3. Take the inverse Laplace transform. Your result is the solution, y(t).

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A: