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2. Solve the following differential equations using classical methods and laplace transform. Use the given initial conditions: d²x dx dt² x(0) = 2, x' (0) = −3 +2 +2x=5e²t dt Answer: exp(2*t)/2 - exp(-t)*((3/2)cos(t) – (5/2)sin(t))

2. Solve the following differential equations using classical methods and laplace transform. Use the given initial conditions: d²x dx dt² x(0) = 2, x' (0) = −3 +2 +2x=5e²t dt Answer: exp(2*t)/2 - exp(-t)*((3/2)cos(t) – (5/2)sin(t))

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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2. Solve the following differential equations using classical methods and laplace transform. Use the given initial conditions: d²x 2 dt² x(0) = 2, x' (0) = −3 dx +2 +2x=5e²t dt Answer: exp(2*t)/2 - exp(-t)*((3/2)cos(t) - (5/2)sin(t))
Transcribed Image Text:2. Solve the following differential equations using classical methods and laplace transform. Use the given initial conditions: d²x 2 dt² x(0) = 2, x' (0) = −3 dx +2 +2x=5e²t dt Answer: exp(2*t)/2 - exp(-t)*((3/2)cos(t) - (5/2)sin(t))
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