Consider dy – y sin(3x) dx = 0, y(0) = 1, x € [0,1] a) solve this problem using RK4 with step sizeh = 0.2. b) If the exact solution for this problem is: e-cos(3x)/3 y : Cosh (5) – Sinh (5) - Sinh - then compare between the approximate solution and the exact solution.
Consider dy – y sin(3x) dx = 0, y(0) = 1, x € [0,1] a) solve this problem using RK4 with step sizeh = 0.2. b) If the exact solution for this problem is: e-cos(3x)/3 y : Cosh (5) – Sinh (5) - Sinh - then compare between the approximate solution and the exact solution.
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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![Consider dy – y sin(3x) dx = 0,
y(0) = 1,
x E [0,1]
a) solve this problem using RK4 with step size h = 0.2.
b) If the exact solution for this problem is:
e- cos(3x)/3
y =
Cosh () - Sinh G)
then compare between the approximate solution and the
exact solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d8517f5-478e-42b7-a79d-f94d71dc3834%2F1bc000d1-fdd4-462c-8724-231729cd695d%2Fz8u8309_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider dy – y sin(3x) dx = 0,
y(0) = 1,
x E [0,1]
a) solve this problem using RK4 with step size h = 0.2.
b) If the exact solution for this problem is:
e- cos(3x)/3
y =
Cosh () - Sinh G)
then compare between the approximate solution and the
exact solution.
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