find approximate values of the solution of the initial value problem at t = 0.1, 0.2, 0.3, and 0.4. a.Use the Euler method with h = 0.05. b.Use the Euler method with h = 0.025. c.Use the backward Euler method with h = 0.05. d.Use the backward Euler method with h = 0.025.6.y′=(y2+2ty)/(3+t2),y(0)=0.5
find approximate values of the solution of the initial value problem at t = 0.1, 0.2, 0.3, and 0.4. a.Use the Euler method with h = 0.05. b.Use the Euler method with h = 0.025. c.Use the backward Euler method with h = 0.05. d.Use the backward Euler method with h = 0.025.6.y′=(y2+2ty)/(3+t2),y(0)=0.5
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.CR: Chapter 11 Review
Problem 10CR
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find approximate values of the solution of the initial value problem at t = 0.1, 0.2, 0.3, and 0.4.
a.Use the Euler method with h = 0.05.
b.Use the Euler method with h = 0.025.
c.Use the backward Euler method with h = 0.05.
d.Use the backward Euler method with h = 0.025.6.y′=(y2+2ty)/(3+t2),y(0)=0.5
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