Chapter 1.6, Problem 4TFR

True-False Review

For items (a)-(e), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition or theorem in fact from the text. If false, provide an example, illustration, or brief explanation of why the statement is false.

An integrating factor for the differential equation $\frac{dy}{dx}=x^{2}y+\sin x$ is $I\left(x\right)=e^{{\displaystyle \int x^{2}dx}}$.