Solution: 5–10 use a numerical solver and Euler’s method to

Chapter 2, Problem 8E

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QUESTION:

In Problems 5–10 use a numerical solver and Euler’s method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.

\(y^{\prime}=x y+\sqrt{y}\),  y(0)=1 ;     y(0.5)

Text Transcription:

y^prime=xy+sqrt y

Questions & Answers

QUESTION:

In Problems 5–10 use a numerical solver and Euler’s method to obtain a four-decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05.

\(y^{\prime}=x y+\sqrt{y}\),  y(0)=1 ;     y(0.5)

Text Transcription:

y^prime=xy+sqrt y

ANSWER:

Step 1 of 20

In this problem, we are asked to use Euler’s method to obtain a 4-decimal approximation of the given value.

 with initial condition .

We have to find .

Given .

 

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