Question

The solution to the DE y'+3x^2 y=x^2 is (to the best of my knowledge) y=ce^-x^3+1/3. I keep trying to solve it but I end up with e^x^3=the integral of x^2*e^x^2 which is supposed to be a nonelementary function? It's a linear equation btw. What am I doing wrong?

Answer 1

Also how do I write a equation normally in the question?

Answer 2

one sec k?

Answer 3

dave can you open that?

Answer 4

Oh, I see. It was just u-substitution. I was just reading the part in the book about nonelementary functions eg. e^x^3, so it threw me off. Anyways, thanks a lot for your help. That's my second question you answered this week:-)