find approximate values of the solution of the initial value problem at t = 0.5, 1.0, 1.5, and 2.0. a.Use the Euler method with h = 0.025. b.Use the Euler method with h = 0.0125. c.Use the backward Euler method with h = 0.025. d.Use the backward Euler method with h = 0.0125. 8.y′=0.5−t+2y,y(0)=1y′=0.5−t+2y,y0=1
find approximate values of the solution of the initial value problem at t = 0.5, 1.0, 1.5, and 2.0. a.Use the Euler method with h = 0.025. b.Use the Euler method with h = 0.0125. c.Use the backward Euler method with h = 0.025. d.Use the backward Euler method with h = 0.0125. 8.y′=0.5−t+2y,y(0)=1y′=0.5−t+2y,y0=1
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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find approximate values of the solution of the initial value problem at t = 0.5, 1.0, 1.5, and 2.0.
a.Use the Euler method with h = 0.025.
b.Use the Euler method with h = 0.0125.
c.Use the backward Euler method with h = 0.025.
d.Use the backward Euler method with h = 0.0125.
8.y′=0.5−t+2y,y(0)=1y′=0.5−t+2y,y0=1
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