Find g(x,y) to make diff eq exact:
Then solution is:
also check out:
How can I solve
dy/dx = (3x^2 * y + y^2) / (2x^3 + 3xy)
Hopefully you can understand that. It is clearly nonlinear. It is also nonexact and I cannot find an integrating factor that works. I also tried y=vx to no avail. Can someone help me out with this and point me in the right direction?
Hi MaxJasper !
There is a mistake in your first line (permutation of dx and dy).
Hi Shanter !
Your differential equation is solvable, but very arduously (too difficult to an home work).
I suspect that there is a "-" missing in the wording :
If the equation was : dy/dx = - (3x^2 * y + y^2) / (2x^3 + 3xy) then the integrating factor would be easy to find and the result : (x^3)(y^2)+(y^3)x = C
Hey this might be a little late but if you write it out as
Mdx + Ndy = 0
To find the integrating factor I think I used
(Nx - My)/M = A, int factor = e^integral A = y
Note, A must be a function of y only.
I don't have my work with me and I am typing this on my phone but I think this is all right. The rest is straight forward using everything you have.