Consider the following first-order ODE: d = (1+2x) √9, x = [0, 1], y (x = 0) = 1 Using step size of h = 0.05, determine y(x) at the given domain x using: (a) Euler's method

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following first-order ODE:
dy
* = (1+ 27) y,
x = [0, 1], y (x 0) = 1
%3D
da
Using step size of h = 0.05, determine y(x) at the given domain x using:
%3D
(a) Euler's method
(b) Heun's method
(c) classical RK4 procedure
Transcribed Image Text:Consider the following first-order ODE: dy * = (1+ 27) y, x = [0, 1], y (x 0) = 1 %3D da Using step size of h = 0.05, determine y(x) at the given domain x using: %3D (a) Euler's method (b) Heun's method (c) classical RK4 procedure
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