How Do You Solve This Second-Order Linear Differential Equation?

[fan_103]

$$x^2$$$$d^2$$y/$$dx^2$$+$$3x$$$$dy$$/$$dx$$+$$5y$$=$$3x$$
I don't know where to start with the question ,can anyone here help me pleasez.

 

[scottie_000]

Do you know how to solve $$x^2 y'' + axy' + by =0$$ in general?

Hint: Use the substitution $$x = e^z$$

 

[fan_103]

Thanks for the help much appreciated..I have not yet done this chapter.