00:01
Okay, here i want to find d -y by d -x or y -dash.
00:04
So to do that, i find d -by -d -x of both sides.
00:13
Now, i differentiate y, i get zero, and x -y is a product, u times v.
00:24
So that will be u, x, differentiate y, i get one d -y by d -x, is implicit, plus v is y times udak is one.
00:40
That's the left hand side.
00:44
The right hand side, i get the exact same thing, e to the xy, times the differential of xy, which i found just now.
00:54
Here then we'll go x, d y by the x plus y, the same item i had here.
01:05
So we've had x to y by the x plus y is equal to x, e to the x, y, dy by d x, plus y to the x, y to be x, y to the x, y to the x, y to the x, expand out the brackets.
01:29
Now, let's get the terms together, so we have x, dy by d x, minus x, e to the x, y to d x, y to x, e, x, y, x, equals y, e, xy, minus y...