Solve
I have tried finding a factor to make this equation exact, and I get . I then integrate by parts with respect to x and get
I feel like I'm not getting anywhere because nothing cancels like it should. Can someone please help me? Thanks!
Solve
I have tried finding a factor to make this equation exact, and I get . I then integrate by parts with respect to x and get
I feel like I'm not getting anywhere because nothing cancels like it should. Can someone please help me? Thanks!
Rewrite your differential as
Multiplying by the integrating factor
The last equation is exact. Its solution of the form where :
... (1)
... (2)
I think you integrate (1) with respect to x. This is too complicated .
Try to integrate (2) with respect to y and put p(x) as the constant of integration.
Okay, now that I've fixed my little problem with the minus signs...
(1) isn't difficult to integrate, but it is tedious. You should get
What I've always done from here is to integrate (2). This is an easy one. Then just match up common terms. It saves from having to work with the derivative of what you called p(x).
-Dan