Solve the differential equation d?y dy 3 + 2y – t = 0 dt dt2 subject to the initial conditions that y(0) = 1 and y'(0) = 0, from 0 to 1. %3D
Solve the differential equation d?y dy 3 + 2y – t = 0 dt dt2 subject to the initial conditions that y(0) = 1 and y'(0) = 0, from 0 to 1. %3D
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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Transcribed Image Text:Solve the differential equation
d?y
dy
3
dt
+ 2y – t = 0
dt2
subject to the initial conditions that y(0) = 1 and y'(0) = 0, from 0 to 1.
Use fourth order Runge-Kutta method and h=0.2. Compare results with the
analytical (exact) solution,
3
3
y = e* .
4
1
-e 2x +5x +
2
--
-
4
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