Homework Statement
Solve
(Z+e^x)Z_x + (Z+e^y)Z_y = Z^2 - e^{x+y}
Where Z = Z(x,y)Homework Equations
Equations of the form
PZ_x + QZ_y = R
Where P = P(x,y,z) , Q=Q(x,y,z) , R=R(x,y,z)
Are solved with the Lagrange method.
It is possible to write this in the form:
\frac{dx}{P} =...