Could anyone help me integrate the following equation;
e^(x+y) + ln(x) + (e^(x+y) + y^2)dy/dx = 0
I can see it is exact and in the form P(x,y) + Q(x,y)dy/dx=0 and so I should be able to solve it using the partial differentiation method, but that would mean integrating ln x with respect to x, which I thought was impossible.
Many thanks.