4y" + 24y' + 27y = 0 @y(Tt) = 1, y'(Tt) = 0* O y(x) = 6 [e^(3(t-T!)] cos(t/2) - e^(3(t-T1) sin(t/2) y(x) = -6 [e^(-3(t-1)] cos(t/2) + e^(-3(t-r) sin(t/2) y(x) = 6 [e*(-3(t-r}] cos(t/2) + e*(-3(t-Tt) sin(t/2) y(x) = -6 [e^(3(t-Tr)] cos(t/2) - e^(3(t-rt) sin(t1/2)
4y" + 24y' + 27y = 0 @y(Tt) = 1, y'(Tt) = 0* O y(x) = 6 [e^(3(t-T!)] cos(t/2) - e^(3(t-T1) sin(t/2) y(x) = -6 [e^(-3(t-1)] cos(t/2) + e^(-3(t-r) sin(t/2) y(x) = 6 [e*(-3(t-r}] cos(t/2) + e*(-3(t-Tt) sin(t/2) y(x) = -6 [e^(3(t-Tr)] cos(t/2) - e^(3(t-rt) sin(t1/2)
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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![4y" + 24y' + 27y = 0 @y(Tt) = 1, y'(T) = 0 *
y(x) = 6 [e^(3(t-T)] cos(t/2) - e^(3(t-T) sin(t/2)
O y(x) = -6 [e^(-3(t-T)] cos(t/2) + e^(-3(t-T1) sin(t/2)
y(x) = 6 [e*(-3(t-T)] cos(t/2) + e*(-3(t-T) sin(t/2)
y(x) = -6 [e^(3(t-T)] cos(t/2) - e*(3(t-T) sin(t/2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea787711-be2e-4ede-9940-aa0be7fdfbc5%2F816bd080-c854-47fe-85f1-3dc284cde3a5%2Fb0e1d2w_processed.png&w=3840&q=75)
Transcribed Image Text:4y" + 24y' + 27y = 0 @y(Tt) = 1, y'(T) = 0 *
y(x) = 6 [e^(3(t-T)] cos(t/2) - e^(3(t-T) sin(t/2)
O y(x) = -6 [e^(-3(t-T)] cos(t/2) + e^(-3(t-T1) sin(t/2)
y(x) = 6 [e*(-3(t-T)] cos(t/2) + e*(-3(t-T) sin(t/2)
y(x) = -6 [e^(3(t-T)] cos(t/2) - e*(3(t-T) sin(t/2)
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