# Differential Equation with Initial Value

• September 10th 2013, 06:07 AM
ReneG
Differential Equation with Initial Value
Solve the differential equation $\mathrm{d}y = y^2(1 + x^2)$ with the initial value $y(0)=1$

I can't solve this because I'm used to the idea that differentials must come in pairs, is there a typo in the problem or is it something I just don't know?
• September 10th 2013, 08:23 AM
FelixFelicis28
Re: Differential Equation with Initial Value
Quote:

Originally Posted by ReneG
Solve the differential equation $\mathrm{d}y = y^2(1 + x^2)$ with the initial value $y(0)=1$

I can't solve this because I'm used to the idea that differentials must come in pairs, is there a typo in the problem or is it something I just don't know?

I think this should be $y' = y^2 (1+x^2), \ y(0) = 1$ OP.

With regards to the actual question, this is a fairly simple DE to solve - do you know what a separable DE is?