By using second order Taylor's series method formula solve the ordinary differentation equation. FormulaSecond Order Taylor Series Methody(x) = y(x;) + hy'(x;) + "(x,)When the Taylor's series is truncated after three terms, it is called second orderTaylor's series method. Else, we write asVis = y; + hy +2! 5. Solve the following initial value problem (IVP)y(0) = f'-xy = xby using(a) second-order Taylor's series method with h = 0.2 and 0

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Answered: 5. Solve the following initial value…

5. Solve the following initial value problem (IVP) '–xy = x y(0) = I by using (a) second-order Taylor's series method with h = 0.2 and 0

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

By using second order Taylor's series method formula solve the ordinary differentation equation.

Formula
Second Order Taylor Series Method
y(x) = y(x;) + hy'(x;) + "(x,)
When the Taylor's series is truncated after three terms, it is called second order
Taylor's series method. Else, we write as
Vis = y; + hy +
2!

5. Solve the following initial value problem (IVP)
y(0) = f
'-xy = x
by using
(a) second-order Taylor's series method with h = 0.2 and 0<xs1.
ANSWER:
5. (а)
Jerrot|
exact
1.000
0.2
0.4
3
1.000
1.040
1.164
1.387
1.040
1.167
1.394
1.754
2.297
0.000
0.003
0.007
0.016
0.031
|
1
0.6
4
0.8
1.0
1.738
2.266
त

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