General solution for 2x²y''+7xy'-3y=13x^(1/4)

[BearY]

Homework Statement

Find general solution for$$2x^2y''+7xy'-3y=13x^\frac{1}{4}$$ where $x>0$

Homework Equations

N/A

The Attempt at a Solution

I am not sure how to deal with the inhomogeneous term.

 

[LCKurtz]

Homework Statement

Find general solution for$$2x^2y''+7xy'-3y=13x^\frac{1}{4}$$ where $x>0$

Homework Equations

N/A

The Attempt at a Solution

I am not sure how to deal with the inhomogeneous term.

Assuming you have the general solution of the homogeneous equation, you might try variation of parameters to get a particular solution of the NH equation.