Hi I have the same question again, Im so sorry!
I have this non-exact equation
(x^3+xy^2+y)dy+(x^2y+y^3+x)dx=0
We have different cases on how we can make it to exact equation:
These are:
Case 1:
(∂M/∂y - ∂N/∂x)/N
Case 2:
(∂M/∂y - ∂N/∂x)/M
Case 3:
Mx + Ny (not equal to) 0
Case 4:
yf(x, y)dx + xg(x, y)dy = 0
Case 5:
regrouping
Please help me...
Regroup things so you have
(x(x^2+y^2)+y) dy + (y(x^2+y^2)+x) dx = 0
Take a look at f(x,y) = e^(xy) (x^2+y^2)