Problems with Ordinary Differential Equation

I'm having problems trying to find the general solution of this first degree ODE:

y' = Mx - Ny^2 + J

(M, N and J are all constants).

MATLAB gave a very weird and long answer involving Airy functions. I'm not sure whether I did it correctly.

Any ideas on how to start solving it?

Hi,

I entered

y' = x - y^2 + 1

into WolframAlpha and it returned a solution involving Airy functions too.

Cheers,
Wen Shih

Hi,

I entered

y' = x - y^2 + 1

into WolframAlpha and it returned a solution involving Airy functions too.

Cheers,
Wen Shih

Looks like my MATLAB programming was correct after all.

y^2 is the spoiler term. Otherwise the ODE would have been easier to solve.

Looks like I need to make some simplifying assumptions.

Anyway, thanks for your help in using WolframAlpha.