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