Greetings,

I came across the folllowing question on Ross,Differential Equationsand was unable to solve it:

with one solution given as , you are asked to find the general solution, my solution is as follows:

Writing it in the standard form leads:

I found the integrating factor:

My final result is:

Afterwards I could not evaluate the indefinite integral and this seems to be an introductory question, do I have a mistake here ?

Any help is appreciated.

Thanks