Find the general solution of the nonhomogeneous differential equation x^2y''-2y=3(x^2) -1, (x> 0).
(i have already verified that y1=1/x is a solution of the differential equation x^2y''-2y=0).

G.S=

Step-by-step explanation:

We are given that non-homogeneous differential equation

It is Cauchy Euler equation

Substitute x=e^t  x>0

Auxillary equation

Complementary solution

Particular solution

G.S=

Hence, general solution G.S=

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