ind the value of y(1.5) given the equation of the family of curves at every point of w angent line has a slope of 2y; assume y(0) = 1 and 0 < x <1.5. Use an estimating incr =0.25. Estimate the %error using Euler's Method, and Runge Kutta Method (Heun's) 2i rd order and 4th order approximation. Compare the value of the results and write your cor -ummary of Answers: 3rd Order RKM 4th Order RKM y(1.5) %error

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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h=0.25

Find the value of y(1.5) given the equation of the family of curves at every point of which the
tangent line has a slope of 2y; assume y(0) = 1 and 0 < x <1.5. Use an estimating increment of
h=0.25. Estimate the %error using Euler's Method, and Runge Kutta Method (Heun's) 2nd order,
3rd order and 4th order approximation. Compare the value of the results and write your conclusion.
Summary of Answers:
3rd Order RKM
4th Order RKM
|y(1.5)
%error
Transcribed Image Text:Find the value of y(1.5) given the equation of the family of curves at every point of which the tangent line has a slope of 2y; assume y(0) = 1 and 0 < x <1.5. Use an estimating increment of h=0.25. Estimate the %error using Euler's Method, and Runge Kutta Method (Heun's) 2nd order, 3rd order and 4th order approximation. Compare the value of the results and write your conclusion. Summary of Answers: 3rd Order RKM 4th Order RKM |y(1.5) %error
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