The solution of the initial value problem y" + 25y = 10 cos(5t), y(0) = 2, y' (0) = 0 %3D y = 2 cos(5t) +t sin(5t) y = cos(5t) + t sin(5t) y = 2 cos(5t) + sin(5t) y = 2 cos(5t) – sin(5t) y = 2 sin(5t) +t cos(5t)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The solution of the initial value problem y" + 25y = 10 cos(5t), y(0) = 2, y' (0) = 0
y = 2 cos(5t) +tsin(5t)
y = cos(5t) + t sin(5t)
O y = 2 cos(5t) + sin(5t)
y = 2 cos(5t) – sin(5t)
y = 2 sin(5t) +t cos(5t)
Transcribed Image Text:The solution of the initial value problem y" + 25y = 10 cos(5t), y(0) = 2, y' (0) = 0 y = 2 cos(5t) +tsin(5t) y = cos(5t) + t sin(5t) O y = 2 cos(5t) + sin(5t) y = 2 cos(5t) – sin(5t) y = 2 sin(5t) +t cos(5t)
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