Solve using Euler’s Method. Approximate up to 5 decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.3: Euler's Method
Problem 15E: Use Eulers method to approximate the indicated function value to 3 decimal places, using h=0.1....
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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
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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Pearson Addison Wesley,