Can Euler's Method Solve dy/dx = x + y^2?

[greg997]

Easy differential equation??

I appreciate any help with this problem.

dy/dx =x+y^2

I need to solve it but i tried to do this by seperating the variables and i can 't do it. And then i need to integrate that to find y.


Thanks for help

 

[Cyosis]

This doesn't look like an easy differential equation to me. Is solving the differential equation the exercise or did you find that differential equation by trying so solve another problem?

 

[qntty]

The solution isn't elementary (Mathematica gives a messy solution which uses the Bessel function).

 

[Pengwuino]

Are you sure you don't mean \frac{{dy}}{{dx}} = xy^2? That's a separable equation

 

[greg997]

Hello, thanks for helping. It turned out it can be solved using Euler's method,