(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

dy/dx=x*e^(ax^2)

solve the differential equation

2. Relevant equations

integral of e^x=e^x

3. The attempt at a solution

im not really sure how to do it when there are two variables in the exponent? i tried several things like u=x^2 1/2du=xdx then 1/2*int[e^a*u] results, but i can't take the integral without a different substitution since int[e^a*u] is not = to e^a*u.

the answer is 1/2a * e^ax^2 + C.. any methods to integrate this? several methods would be best

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Taking the integral of xe^ax^2

**Physics Forums | Science Articles, Homework Help, Discussion**