Solved: ’s method to obtain a fourdecimal approximation of

Chapter 2, Problem 2E

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QUESTION:

In Problems 1 and 2 use Euler’s method to obtain a four decimal approximation of the indicated value. Carry out the recursion of (3) by hand, first using h = 0.1 and then using h = 0.05.

\(y^{\prime}=x+y^{2}\), y(0)=0 ;    y(0.2)

Text Transcription:

y^prime=x+y^2

Questions & Answers

QUESTION:

In Problems 1 and 2 use Euler’s method to obtain a four decimal approximation of the indicated value. Carry out the recursion of (3) by hand, first using h = 0.1 and then using h = 0.05.

\(y^{\prime}=x+y^{2}\), y(0)=0 ;    y(0.2)

Text Transcription:

y^prime=x+y^2

ANSWER:

Step 1 of 3

In this problem we have to obtain the approximate value of the function by using euler’s method

Given differential equation

 initial conditions ,

 

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