The following is an IVP: Let's introduce Y(a) = C(v(t)) +4y= cos(2), v(0)=3, (0)-8. Part 1 Apply the Laplace transform of both sides of the ODE. Evaluate each Laplace Transform, but do not move any terms from one side to the other side. Enter the equation below help (formulas) Part 2 Solve the above equation to get Y(a) and enter it below. Y(a) = C (y(t)) - Part 3 Take the inverse Laplace transform of Y(a) to get y(t) and enter it below. v(t)-C-¹(Y (0)) -

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A: I am attaching image so that you understand each and every step.

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