Consider the initial value problem y' + 4y = 16t, y(0) = 6. 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). Do not move any terms from one side of the equation to the other (until you get to part (b) below). b. Solve your equation for Y(s). Y(s) = L{y(t)} = = ‒‒‒ www www = help (formulas) c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t) = #

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