Question

First Order Linear DE: Write in standard form:
(See attachment)

Answer 1

Yes, first rewrite it in it's general form: \(\color{Red}{y' + P(x) = Q(x)}\)
so, get rid of that x(1+x\(^3\)) by multiplying everything by: \(\sf \frac{1}{x(1+x^3)}\)

Answer 2

Your next step is to find the integrating factor: \(\sf \mu(x) = e^{\int P(x)dx}\)

Answer 3

Thanks!