Chapter 2, miscellaneous exercises no. 4:
I made it homogeneous:
Then I substituted which makes it separable:
and so
Now the nightmare begins. The integral on the LHS seems to be tractable only if I try the substitution
This leads to:
Converting the hyp funcs to exps:
which gets us to
To get back to and thence , I substitute back using the formula for from which I end up with the answer to my diffeq:
So far so good, but the answer as given in the book is:
Can these two results be reconciled? I fear not. Can anyone work it through and see whether (a) I've made a mistake somewhere, or (b) I haven't followed through far enough?