Solve the following differential equations using classical methods. Assume zero initial conditions. a. dx/dt + 7x =

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Solve the following differential equations using classical methods. Assume zero initial conditions.

a. dx/dt + 7x = 5 cos 2t

b. d2x/dt2 + 6dx/dt + 8x = 5 sin 3t

c. d2x/dt2 + 8dx/dt + 25x = 10u(t)

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