In 17–22, solve the initial value problem.

Chapter 2, Problem 22E

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QUESTION:

\(\sin x \frac{d y}{d x}+y \cos x=x \sin x\),               \(y\left(\frac{\pi}{2}\right)=2\)

Equation Transcription:

Text Transcription:

sin x{dy}over{d x}+y cos x=x sin x

y({pi}over{2})=2

Questions & Answers

QUESTION:

\(\sin x \frac{d y}{d x}+y \cos x=x \sin x\),               \(y\left(\frac{\pi}{2}\right)=2\)

Equation Transcription:

Text Transcription:

sin x{dy}over{d x}+y cos x=x sin x

y({pi}over{2})=2

ANSWER:

Solution:

Step 1:

In this problem, we have to solve the initial value problem for the given differential equation.

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