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3 Solve the following equations by Laplace transforms. dx (a) +3x = e-2t given that x =2 when t =0 dt (b) 3x – 6x = sin 2t given that x = 1 when t=0 (c) i– 7i + 12x = 2 given that at t = 0, x = 1 and i = 5 given that at t=0, x = 1 and i = 0. %3D (d) i– 2i +x = te

3 Solve the following equations by Laplace transforms. dx (a) +3x = e-2t given that x =2 when t =0 dt (b) 3x – 6x = sin 2t given that x = 1 when t=0 (c) i– 7i + 12x = 2 given that at t = 0, x = 1 and i = 5 given that at t=0, x = 1 and i = 0. %3D (d) i– 2i +x = te

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 Solve the following equations by Laplace transforms. dx (a) +3x = e-2t given that x = 2 when t 0 %3D %3D dt (b) 3x – 6x = sin 2t given that x = 1 whent=0 (c) i– 7* + 12x = 2 given that at t = 0, x = 1 and i = 5 (d) i– 2x +x = te given that at t = 0, x = 1 and i = 0.
Transcribed Image Text:3 Solve the following equations by Laplace transforms. dx (a) +3x = e-2t given that x = 2 when t 0 %3D %3D dt (b) 3x – 6x = sin 2t given that x = 1 whent=0 (c) i– 7* + 12x = 2 given that at t = 0, x = 1 and i = 5 (d) i– 2x +x = te given that at t = 0, x = 1 and i = 0.
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