i want to solve
But I could not classify it
When you have linear functions multiplying the differentials like that, what you want to do is have a substitution based on the point of intersection of the two lines (if they are not parallel, as here). So, the left-hand line is x - 1 = 0, and the right-hand line is 3x - 2y - 5 = 0. Obviously, x = 1, and you can find the corresponding y. So let's call the point of intersection You want to do the substitution and The resulting DE will be of a form that you know, I think. What do you get?
I had another idea. Let's turn the usual method on its head: Solve this as x(y) instead of y(x):
which is a much more recognizable form than the original.
Uh. D*mn. I guess this one doesn't work out that well.
I found the method is explained here by the member General :