I've already solved this problem, but the assessment system I'm supposed to insert my answer to keeps telling me it's incorrect, so I must have made a mistake somewhere and can't spot it.
So I'll write out, step by step, what I've done:
Right Hand Side:
Left Hand Side:
Rewriting LHS using partial fractions:
So then I get LHS to be:
Integrating the LHS with respect to y gives
So now I have
But apparently that's the wrong answer and I can't, for the life of me, figure out where I'm going wrong.
I just tried it and entered it into the assessment system, and it's still wrong, but the error I got was:
"Your answer does satisfy the differential equation but either does not have a constant specified or you did not use "c" (small case) as instructed. Your mark for this attempt is 0."