00:01
I want to solve this differential equation.
00:02
I'm going to call this m and this n.
00:08
So we take partial m with respect to y and partial n with respect to x.
00:38
So those are not equal.
00:41
So therefore it's not exact.
00:44
So what we want to do is find an integrating factor which is a function.
00:48
I'm going to multiply by over here.
00:50
It's a function of x and y.
00:53
And we have a handy dandy equation for calculating u.
00:59
This equation is not that easy to solve.
01:02
I'm going to try a solution of this form.
01:10
X to the sum power n y to the sum power m.
01:18
So this i'm going to try u in this form.
01:21
Here's the derivatives.
01:22
Let's plug that back in the equation.
01:24
This could actually work...