01 7 0 1 2 B 4 1.09861 xn 1 yn

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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Xn+1 = Xn + h
LABORATORY ACTIVITY 3
Use Euler's Method to approximate the solution to the IVP
xy' + xy + y - x = 0; y(In3) = 1 at x = ln(4)
Use h=0.01. Calculate up to 5 decimal places.
FORMULAS AND EQUATIONS
Yn+1 = Yn + h. f (xn, Yn)
y' =
=
x-xy-y
x
Transcribed Image Text:Xn+1 = Xn + h LABORATORY ACTIVITY 3 Use Euler's Method to approximate the solution to the IVP xy' + xy + y - x = 0; y(In3) = 1 at x = ln(4) Use h=0.01. Calculate up to 5 decimal places. FORMULAS AND EQUATIONS Yn+1 = Yn + h. f (xn, Yn) y' = = x-xy-y x
h
0.01
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COHNm сом со
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1.09861
xn
FINAL ANSWER
xn
0
yo
1
yn
yn
0.00000
Transcribed Image Text:h 0.01 П COHNm сом со 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 П 29 20 1.09861 xn FINAL ANSWER xn 0 yo 1 yn yn 0.00000
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