Nonlinear nonhomogeneous ODE of the first kind

[sara_87]

Homework Statement

Solve the following ODE:

du/dx=u^2+1

Homework Equations

The Attempt at a Solution

I have tried making the substitution:
u^2=v

but this doesn't help.

Any hints will be very much appreciated

 

[I like Serena]

Hi sara_87!

You have what is called a separable first order ODE.
See the first example on this page:
http://en.wikipedia.org/wiki/Separable_ordinary_differential_equation

Divide both sides of your equation by the right hand side and you should be able to integrate both sides.