The second order differential equation d2r/dt2 4r = 3cost has initial conditions r = 1, dy/dt

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The second order differential equation d2r/dt2 – 4r = 3cost has initial conditions r = 1, dy/dt = 1 when t = 0.

a. Find the complementary function and the particular integral.

b. Hence, using the initial conditions, find the particular solution.

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