8. z"+92-1: z(0)=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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Question
Problem number 8
Transcribed Image Text:Use Laplace transforms to solve the initial value problems in Problems 1 through 16.
1. z+4z=0; z(0)=5, z (0)=0
2. z+9x=0; z(0)=3,z (0) = 4
3. 2"-2'-2z= 0; z(0)=0, z (0)-2
4. z+8+ 15z = 0; z(0)-2, z (0)=-3
5. "+z=sin 21; z(0)=0=z (0)
D
6. z"+4z= cos t; z(0)=0=z (0)
7. z"+z= cos 3t; z(0)=1,z (0)=0
8. z+92-1: z(0)=0=2(0)
"+42 +3z=1; z(0)=0=z (0)
TOY
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