Find the solution of the given initial value problem: y (4) + 2y" + y = 5t + 8; y(0) = y'(0) = 0, y"(0) y(t) = = 8+5 t-8 cos(t)- 5 sin(t) = (³) (0) = 1. 7 t sin(t) + 2 t cos(t) - 2 sin(t)
Find the solution of the given initial value problem: y (4) + 2y" + y = 5t + 8; y(0) = y'(0) = 0, y"(0) y(t) = = 8+5 t-8 cos(t)- 5 sin(t) = (³) (0) = 1. 7 t sin(t) + 2 t cos(t) - 2 sin(t)
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 the solution of the given initial value problem:
y(4) + 2y" + y = 5t + 8; y(0) = y′(0) = 0, y″(0) = y(³) (0) = 1.
y(t) = 8+5 t-8 cos(t)- 5 sin(t)
7
t sin(t) + 2t cos(t) - 2 sin(t)
2
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