Question

\( \frac{d y}{d x}+x^{2} y=x e^{x} \)

Name: (d y)/(d x)+x^2 y=x e^x
Uploaded: 2023-05-13T06:16:49-08:00
Duration: 3 min 33 s
Channel: Khushbu Rani
Description: (d y)/(d x)+x^2 y=x e^x

          \( \frac{d y}{d x}+x^{2} y=x e^{x} \)

Added by Glenn F.

Differential Equations

Shepley L. Ross 3rd Edition

Chapter 1

Instant Answer

Solved by Expert Khushbu Rani

05/13/2023

Step 1

First, let's rewrite the equation in the standard form: \(\frac{dy}{dx} + x^2y = xe^x\) Now, we can see that the coefficient of \(y\) is \(x^2\), which is not a function of \(x\) only. To make it a function of \(x\) only, we can multiply the entire equation by Show more…

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