In 13–19, find at least the first four nonzero terms in a

Chapter 8, Problem 13E

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QUESTION:

In Problems 13–19, find at least the first four nonzero terms in a power series expansion of the solution to the given initial value problem.

\(x^{\prime}+(\sin t) x=0 ; \quad x(0)=1\)

Equation Transcription:

Text Transcription:

x'+(sin t)x=0;     x(0)=1

Questions & Answers

QUESTION:

In Problems 13–19, find at least the first four nonzero terms in a power series expansion of the solution to the given initial value problem.

\(x^{\prime}+(\sin t) x=0 ; \quad x(0)=1\)

Equation Transcription:

Text Transcription:

x'+(sin t)x=0;     x(0)=1

ANSWER:

Step 1 of 6

Given: , .

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