Linear Differential Equation Help

[tylercollins]

This is a question I have been staring at for a while now. I can't figure it out for the life of me.

'Solve the following equation that is linear in x: y + (3 + 3x - y)dy/dx = 0

I don't even know where to start. Any help would be greatly appreciated.

 

[kai_sikorski]

Think of x as a function of y, and use this

http://en.wikipedia.org/wiki/Inverse_functions_and_differentiation

 

[caleb5040]

The equation becomes exact if you multiply both sides by the integrating factor μ = y².

You can then find the solution using regular methods for solving exact equations.

http://en.wikipedia.org/wiki/Exact_differential_equation.

Not sure if Wikipedia explains the method very well, but just so you have an idea of what I'm talking about :)