Answer
$$P(x)=\frac{1}{x}.$$
Work Step by Step
Since $\alpha(x)=e^{\int P(x)dx}$, then
$$ e^{\int P(x)dx}=x\Longrightarrow \int P(x)dx = \ln x.$$
Hence, by differentiation, we have
$$P(x)=\frac{1}{x}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 10 - Introduction to Differential Equations - 10.4 First-Order Linear Equations - Preliminary Questions - Page 523: 3
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
