Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Solve using Euler’s Method. Approximate up to 5 decimal places.

2. Given the differential equation: 3x2 cos y?dx - sin xdy + 2xdx = y cos x dx + 2x3y sin y?dy,
y(0) = 0, h = 0.1. Find approximately y(0.5). Find also the actual value using any applicable
method of solving ODE's.
f(x, y) =
Xn
Уп
f(xn, Yn)
Уп+1
1
2
3
4
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Transcribed Image Text:2. Given the differential equation: 3x2 cos y?dx - sin xdy + 2xdx = y cos x dx + 2x3y sin y?dy, y(0) = 0, h = 0.1. Find approximately y(0.5). Find also the actual value using any applicable method of solving ODE's. f(x, y) = Xn Уп f(xn, Yn) Уп+1 1 2 3 4
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