Given the differential equation y'' − 3y' – 4y = - 2 sin(2t), y(0) = 0, y'(0) = - = - 1 Apply the Laplace Transform and solve for Y(s) = L{y} Y(s) =

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Q: y'' + 4y = cos2t y(0) = -2 and y'(0) = 0 Solve the IVP using the Laplace Transform.

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Q: 4. Find a general solution to the equation y' – 3y = e" sin(2x). -

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Q: Solve the ODE y" + y = et cos(2t) cos(2t) y(0) = 2, y'(0) = 1

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Q: Find the differential of each function. (a) y = x2 sin(4x)

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