Euler Use the Euler's method with h = 0.25 to solve from x = 0 to x = 1. It is known that y(0) = 1. %3! dy dx (1+ 2x)/ỹ := (a) Euler's equation: Yi+ı = yı + [(1+ 2x¡)/y]h (b) At x, = 0, yo = (c) Calculate f(x, y) = (d) y, = 1.25 (e) Repeat steps (b-d) to fill the following table. f(x, y) f(x, у)-h i y 1 1 0.25 1.250 2 0.50 2.584 0.646 0.75 1 3.266 1.356 3. st
Euler Use the Euler's method with h = 0.25 to solve from x = 0 to x = 1. It is known that y(0) = 1. %3! dy dx (1+ 2x)/ỹ := (a) Euler's equation: Yi+ı = yı + [(1+ 2x¡)/y]h (b) At x, = 0, yo = (c) Calculate f(x, y) = (d) y, = 1.25 (e) Repeat steps (b-d) to fill the following table. f(x, y) f(x, у)-h i y 1 1 0.25 1.250 2 0.50 2.584 0.646 0.75 1 3.266 1.356 3. st
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Euler
Use the Euler's method with h = 0.25 to solve from x = 0 to x = 1. It is known that y(0) = 1.
%3!
dy
dx
(1+ 2x)/ỹ
:=
(a) Euler's equation:
Yi+ı = yı + [(1+ 2x¡)/y]h
(b) At x, = 0, yo =
(c) Calculate f(x, y) =
(d) y, = 1.25
(e) Repeat steps (b-d) to fill the following table.
f(x, y)
f(x, у)-h
i
y
1
1
0.25
1.250
2
0.50
2.584
0.646
0.75
1
3.266
1.356
3.
st](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcda32caa-21db-410c-93a3-d96b958df2f5%2Fc45483a8-5a61-44c0-b2a8-4ba166709a5a%2Fgbk1rpe_processed.png&w=3840&q=75)
Transcribed Image Text:Euler
Use the Euler's method with h = 0.25 to solve from x = 0 to x = 1. It is known that y(0) = 1.
%3!
dy
dx
(1+ 2x)/ỹ
:=
(a) Euler's equation:
Yi+ı = yı + [(1+ 2x¡)/y]h
(b) At x, = 0, yo =
(c) Calculate f(x, y) =
(d) y, = 1.25
(e) Repeat steps (b-d) to fill the following table.
f(x, y)
f(x, у)-h
i
y
1
1
0.25
1.250
2
0.50
2.584
0.646
0.75
1
3.266
1.356
3.
st
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