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Q/By using MATLAB, find the Laplace Transform of the function x(t) which satisfy the following differential equation and initial condition: a) y +9y=t² y(0) = 0 y'(0) = 0 b) y" +16y=1+t y(0) = -2 y' (0) = 0 c) y5y+6y=e-t y(0) = 0 y' (0) = 2 d) y + 3y 10 sin t y(0) = 0 e) y5y' 1.5e-4 = y(0) = 1 f) y' + 0.2y = 0.01t y(0) = -0.25 g) y" -y-2y=0 y(0) = 8 y' (0) = 7 h) y+ay 2a2y = 0 y(0) = 6 y' (0) = 0 i) y" + y = 2 cost y(0) = 3 y' (0) = 4 1 j) y" 4y+ 3y = 6t - 8 y(0) = 0 y' (0) = 0 k) y" +0.04y = 0.02t² y(0) = -25 y' (0) = 0 1) y" +2y3y = 6e-2t y(0) = 2 y' (0)=-14

Q/By using MATLAB, find the Laplace Transform of the function x(t) which satisfy the following differential equation and initial condition: a) y +9y=t² y(0) = 0 y'(0) = 0 b) y" +16y=1+t y(0) = -2 y' (0) = 0 c) y5y+6y=e-t y(0) = 0 y' (0) = 2 d) y + 3y 10 sin t y(0) = 0 e) y5y' 1.5e-4 = y(0) = 1 f) y' + 0.2y = 0.01t y(0) = -0.25 g) y" -y-2y=0 y(0) = 8 y' (0) = 7 h) y+ay 2a2y = 0 y(0) = 6 y' (0) = 0 i) y" + y = 2 cost y(0) = 3 y' (0) = 4 1 j) y" 4y+ 3y = 6t - 8 y(0) = 0 y' (0) = 0 k) y" +0.04y = 0.02t² y(0) = -25 y' (0) = 0 1) y" +2y3y = 6e-2t y(0) = 2 y' (0)=-14

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.16P
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Q/By using MATLAB, find the Laplace Transform of the function x(t) which satisfy the following differential equation and initial condition: a) y +9y=t² y(0) = 0 y'(0) = 0 b) y" +16y=1+t y(0) = -2 y' (0) = 0 c) y5y+6y=e-t y(0) = 0 y' (0) = 2 d) y + 3y 10 sin t y(0) = 0 e) y5y' 1.5e-4 = y(0) = 1 f) y' + 0.2y = 0.01t y(0) = -0.25 g) y" -y-2y=0 y(0) = 8 y' (0) = 7 h) y+ay 2a2y = 0 y(0) = 6 y' (0) = 0 i) y" + y = 2 cost y(0) = 3 y' (0) = 4 1 j) y" 4y+ 3y = 6t - 8 y(0) = 0 y' (0) = 0 k) y" +0.04y = 0.02t² y(0) = -25 y' (0) = 0 1) y" +2y3y = 6e-2t y(0) = 2 y' (0)=-14
Transcribed Image Text:Q/By using MATLAB, find the Laplace Transform of the function x(t) which satisfy the following differential equation and initial condition: a) y +9y=t² y(0) = 0 y'(0) = 0 b) y" +16y=1+t y(0) = -2 y' (0) = 0 c) y5y+6y=e-t y(0) = 0 y' (0) = 2 d) y + 3y 10 sin t y(0) = 0 e) y5y' 1.5e-4 = y(0) = 1 f) y' + 0.2y = 0.01t y(0) = -0.25 g) y" -y-2y=0 y(0) = 8 y' (0) = 7 h) y+ay 2a2y = 0 y(0) = 6 y' (0) = 0 i) y" + y = 2 cost y(0) = 3 y' (0) = 4 1 j) y" 4y+ 3y = 6t - 8 y(0) = 0 y' (0) = 0 k) y" +0.04y = 0.02t² y(0) = -25 y' (0) = 0 1) y" +2y3y = 6e-2t y(0) = 2 y' (0)=-14
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