For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time. 2. 3. 4. x(t) +3x(t) + 25x(t) = -50 x(0) = 0, x(0) = −1 x(t) +3x(t) +25x(t) = 3sin(2t) x(0) = 0, x(0) = 1 0 2t+15 x(t) +3x(t) + 25x(t) = = 2sin(t) t<0 5t≥0 5t≥ 15 (plot to 20s) x(0) = 0, x(0) = 0 0 t > 15
For each of the following LTI ODE's, find the complete solution and plot it to twice the settling time. 2. 3. 4. x(t) +3x(t) + 25x(t) = -50 x(0) = 0, x(0) = −1 x(t) +3x(t) +25x(t) = 3sin(2t) x(0) = 0, x(0) = 1 0 2t+15 x(t) +3x(t) + 25x(t) = = 2sin(t) t<0 5t≥0 5t≥ 15 (plot to 20s) x(0) = 0, x(0) = 0 0 t > 15
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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