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1. Solve the following differential equations using classical methods and laplace transform. Assume zero initial conditions. d²x dx dt² +2 +2x=5e²t dt Answer: exp(2*t)/2 -(exp(-t)*(cos(t) + 3*sin(t)))/2

1. Solve the following differential equations using classical methods and laplace transform. Assume zero initial conditions. d²x dx dt² +2 +2x=5e²t dt Answer: exp(2*t)/2 -(exp(-t)*(cos(t) + 3*sin(t)))/2

Advanced Engineering Mathematics
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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1. Solve the following differential equations using classical methods and laplace transform. Assume zero initial conditions. d² x dx 2 dt² +2- +2x=5e²t dt - Answer: exp(2*t)/2 -(exp(-t)*(cos(t) + 3*sin(t)))/2
Transcribed Image Text:1. Solve the following differential equations using classical methods and laplace transform. Assume zero initial conditions. d² x dx 2 dt² +2- +2x=5e²t dt - Answer: exp(2*t)/2 -(exp(-t)*(cos(t) + 3*sin(t)))/2
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