First Order DE Integration Factor Problem

Question

Problem:

y'+12yx^11=x^12

Use P = ∫e^x^12dx wherever it occurs in your answer.

Answer 1

The integrating factor is exp(x¹²).

The solution is yexp(x¹²⁾ = ∫x¹²exp(x¹²) dx

I will leave the integration to you.

Sorry! You are correct...the integral is not so easy.

Integration by parts does seem to yield an answer.

I am not sure that the integral has an answer is closed form.

I apologize that I cannot be more help.

Please note: if when you review this problem in class, you get an answer, I would ask you to share that answer with me. Thanks.