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+9z 0; z(0)=3,z (0)=4 3. z"-z'-2z=0; z(0)=0, z (0)-2 4. z+8z+ 15z = 0; z(0)-2, z 10) = -3 5.2"+2=sin 2t: 2(0) 0z (0) 6. z" +4z = cos t; z(0)=0-z (0) 7. z"+z= cos 3t; z(0)=1,z (0)-0 8. z"+9z=1: z(0)=0==(0) 9. z+4z + 3r=1; z(0)=0-z (0) +2z-t; z(0)=0, z 10) = 2 10, z
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+9z 0; z(0)=3,z (0)=4 3. z"-z'-2z=0; z(0)=0, z (0)-2 4. z+8z+ 15z = 0; z(0)-2, z 10) = -3 5.2"+2=sin 2t: 2(0) 0z (0) 6. z" +4z = cos t; z(0)=0-z (0) 7. z"+z= cos 3t; z(0)=1,z (0)-0 8. z"+9z=1: z(0)=0==(0) 9. z+4z + 3r=1; z(0)=0-z (0) +2z-t; z(0)=0, z 10) = 2 10, z
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 47RE
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Problem 10 pl
Transcribed Image Text:ze
Use Laplace transforms to solve the initial value problems in Problems 1 through 16.
1. 2"+4z=0; z(0)-5, z (0)-0
2. z+9x=0; z(0)=3,z (0)=4
3. z"-2¹-2z=0; z(0)=0, z (0)=2
4.
5. "+= sin 21; (0) 0 (0)
Þ
6. z+42= cos t; z(0)=0=z(0)
7. z"+z = cos 3t; z(0)=1,z (0)=0
8. z"+9=1: z(0)=0=2(0)
9. z"+42¹ +3r=1; z(0)=0=2(0)
10. z"+3z¹+2rt; z(0)=0,2 (0) 2
"+8x' + 15z = 0; z(0)=2, z (0) = -3
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