Solve M(x,y) from N(x,y) and Equation Provided

[sapiental]

Homework Statement

is it possible to find M(x,y) if I know N(x,y) and the equation i need to solve is N(x,y)^M(x,y) - M(x,y)*e^N(x,y) = 0?

both are linear functions

thanks, this is part of a longer differential equation and the above equations is what I end up with. Just need some input please.

Thanks!

 

[trajan22]

If M(x,y) is in terms of both x and y then I would say no, because you only have one equation and two unknowns