y" + y = 0, y( »(;) = = 10, y'(x/3) = - 20
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 initial value problem
y" + y = 0, y() = 10, y' (x/3) = – 20
y(t) = - 20cost + 10sint
O y(t) = V3cost + V3sint
O y(t) = cost + sint
y(t) = 10cost - 20sint
O y(t) = (5+ 10V3)cost + (5/3 – 10)sint
y(t) = e' – e
O y(t)
= cịcost + c2 sint
O y(t) = V3cost + 10/3sint
O y(t) = V3cost + (/3 + 10) sint
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