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3. Use Laplace Transforms to solve the given differential equations d²x dt² a. b. d²x dt² dx dt +6 +9x = sint, t≥0 subject to the initial conditions x = 0 and = 0 at t = 0 dt - 2 x + 2x = 3e¹ cos 2t, given x(0) = 2 and x'(0) = 5 dt

3. Use Laplace Transforms to solve the given differential equations d²x dt² a. b. d²x dt² dx dt +6 +9x = sint, t≥0 subject to the initial conditions x = 0 and = 0 at t = 0 dt - 2 x + 2x = 3e¹ cos 2t, given x(0) = 2 and x'(0) = 5 dt

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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3. Use Laplace Transforms to solve the given differential equations d²x dt² a. b. d²x dt² dx +6dx +9x = sint,t≥0 subject to the initial conditions x = 0 and x = 0 = 0 at t = 0 dt dt dx + 2x = 3et cos 2t, given x (0) = 2 and x'(0) = 5 dt - 2:
Transcribed Image Text:3. Use Laplace Transforms to solve the given differential equations d²x dt² a. b. d²x dt² dx +6dx +9x = sint,t≥0 subject to the initial conditions x = 0 and x = 0 = 0 at t = 0 dt dt dx + 2x = 3et cos 2t, given x (0) = 2 and x'(0) = 5 dt - 2:
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