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## Homework Statement

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

solve the differential equation

## Homework Equations

integral of e^x=e^x

## 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