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a) Find the general solution of d^2y/dt^2 - 2(dy/dt) + y = 0. Verify your answer.

b) Solve the initial value problem y'' + 4y' + 5y = 0; y(0)= -3, y'(0) = 0

c) Find a DE that has the given functions as solutions: y1 = e^5x , y2 = e^-2x

Any help would be greatly appreciated.