Question: solve the following initial value problems. a) y+ 4y' + 8y = 40cos(2x), y(0) = 8, y'(0) = 0 b) y + 6y' + 13y

solve the following initial value problems.

a) y"+ 4y' + 8y = 40cos(2x), y(0) = 8, y'(0) = 0

b) y" + 6y' + 13y = 12e-3xsin(2x), y(0) = 0, y'(0) = 0

 Find a general solution of each of the following nonhomogeneous equations.

a) y" + 4y = 12x−8cos(2x)

b) y(4)− 4y" = 16+32sin(2x)

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