(a) Find a second-order homogeneous linear ODE for which the given functions are solutions. (b) Show linear...

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(a) Find a second-order homogeneous linear ODE for which the given functions are solutions. 

(b) Show linear independence by the Wronskian. 

(c) Solve the initial value problem.

1 , e-2x, y(0) = 1,   y' (0) = -1

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