a) Using the method of undetermined coefficients, find thegeneral solution of yʺ + 4yʹ −5y = e^−4x
b) Solve xy'=(x+1)y^2
c) Solve the initial value problem :(x−1)yʹ+3y= 1/ (x-1)^2 + sinx/(x-1)^2 ,y(0)=3
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