Solve the initial value problem 0 y = 2e-2t +e-21 O y = cost + 2sint O y = O y = O y = e 2¹ cost + 2e-2¹ sint O y = 2cost + sint = 2e-2¹ cost + e-2¹ sint e-²¹ +2e-2t y" + 4y + 5y = 0, y(0) = 1, y'(0) = 0
Solve the initial value problem 0 y = 2e-2t +e-21 O y = cost + 2sint O y = O y = O y = e 2¹ cost + 2e-2¹ sint O y = 2cost + sint = 2e-2¹ cost + e-2¹ sint e-²¹ +2e-2t y" + 4y + 5y = 0, y(0) = 1, y'(0) = 0
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
0 y = 2e-2t
+e-21
O y = cost + 2sint
O y =
O y =
O y = e 2¹ cost + 2e-2¹ sint
O y = 2cost + sint
= 2e-2¹ cost + e-2¹ sint
e-²¹ +2e-2t
y" + 4y + 5y = 0, y(0) = 1, y'(0) = 0
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