Answer: ’s method to obtain a fourdecimal approximation of

Chapter 2, Problem 3E

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QUESTION:

In Problems 3 and 4 use Euler’s method to obtain a four decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for each initial-value problem and then construct tables similar to Tables 2.6.3 and 2.6.4.

\(y^{\prime}=y\),  y(0)=1 ;     y(1.0)

Text Transcription:

y^prime=y

Questions & Answers

QUESTION:

In Problems 3 and 4 use Euler’s method to obtain a four decimal approximation of the indicated value. First use h = 0.1 and then use h = 0.05. Find an explicit solution for each initial-value problem and then construct tables similar to Tables 2.6.3 and 2.6.4.

\(y^{\prime}=y\),  y(0)=1 ;     y(1.0)

Text Transcription:

y^prime=y

ANSWER:

Solution:

Step 1:

In this problem, we have to find an explicit solution for initial value problem and we have to solve the initial value problem at  by euler’s method.

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