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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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Problem 10 pl

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
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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