Looks good to me!
I came across the folllowing question on Ross, Differential Equations and 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.