# Diff. eq. solve linear equation

1. Mar 1, 2014

### Jtechguy21

1. The problem statement, all variables and given/known data

Solve the following differential equations.

3xy'+y=12

2. Relevant equations

I believe this is a linear equation problem. So I believed to have solved it, however I am not sure if I have done so correctly.

3. The attempt at a solution

2. Mar 1, 2014

### jackarms

If you're not sure, take the derivative and you can verify it from the equation given. The only mistake I see is in calculating your integrating factor:

When you have $e^{\frac{1}{3}lnx}$, you have to move the 1/3 into the exponent on the $lnx$ before you cancel the e and the ln.

3. Mar 1, 2014