Differential Equations and Linear Algebra (4th Edition)

Published by Pearson
ISBN 10: 0-32196-467-5
ISBN 13: 978-0-32196-467-0

Chapter 1 - First-Order Differential Equations - 1.6 First-Order Linear Differential Equations - True-False Review - Page 59: d



Work Step by Step

The first order linear equation must be in the form of $y'+p(x)y=q(x)$. Therefore, the equation is rewritten as $y'-x^2y=sin(x)$. The integrating factor is equal to $e^{\int p(x) dx}$, so the integrating factor is actually $e^{-\int x^2 dx}$.
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