How do you solve a linear differential equation using an integrating factor?

[roshan2004]

After multiplying the given differential equation by its integrating factor we get the first step,but I simply couldnot understand the second stage,pls explain it to me.

 

[sara_87]

Notice in the second step, if you differentiate y(e^x^3); you will get the left hand side of the first step. so from the first step to the second, you have to undo the product rule of differentiation.