Consider the given differential equation: + = cos x - sinx, y(0) = 1, h = 0.25, at what value of x y2 y will k₁k₂ + ≈ 0.83011? Use Runge-Kutta method, order 4. k3

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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Consider the given differential equation:
+ = cos x - sinx, y(0) = 1, h = 0.25, at what value of x
y2
y
will k₁k₂ + ≈ 0.83011? Use Runge-Kutta method, order 4.
K3
A) 2
B
E
2.25
1.5
1.25
1.75
Transcribed Image Text:Consider the given differential equation: + = cos x - sinx, y(0) = 1, h = 0.25, at what value of x y2 y will k₁k₂ + ≈ 0.83011? Use Runge-Kutta method, order 4. K3 A) 2 B E 2.25 1.5 1.25 1.75
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