first divide the ODE by x
now let us use the following substitution:
after applying this substitution to our ODE we get:
this is a separable equation:
you can now back substitute to obtain the solution in an implicit form.
The question is :-
The question asks to find the integrating factor and to solve it further.
As this is a homogeneous equation I tried the formula of and both partial fraction formulas but the answer which is wouldn't come. I get
Secondly even by using the answer of I.F I get stuck at final integration. Please do it for me. I dunno that how does the terms and come ?