For the second-order differential equation, d²y dy + 4 + 4y = 0, y(0) = 3, dy (0) dx 1 dx? dx 1. Solve the equation using the Homogeneous Method. 2. Solve the equation using Laplace. 3. Find y(3)=?. dy 4. Find (3)=?.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For the second-order differential equation,
d²y
dy
+ 4y = 0, y(0) = 3,
dy
+ 4
(0)
dx
1
dx2
dx
1. Solve the equation using the Homogeneous Method.
2. Solve the equation using Laplace.
3. Find y(3)=?.
dy
4. Find
dx
(3)=?.
Transcribed Image Text:For the second-order differential equation, d²y dy + 4y = 0, y(0) = 3, dy + 4 (0) dx 1 dx2 dx 1. Solve the equation using the Homogeneous Method. 2. Solve the equation using Laplace. 3. Find y(3)=?. dy 4. Find dx (3)=?.
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