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25.18 The following is an initial-value, second-order differential equation: dx ²+(5x) + (x +7) sin (wt) = 0 dt where dx (0) = = 1.5 and x(0) = 6 dt Note that w = 1. Decompose the equation into two first-order differential equations. After the decomposition, solve the system from t = 0 to 15 and plot the results of x versus time and dx/dt versus time.

25.18 The following is an initial-value, second-order differential equation: dx ²+(5x) + (x +7) sin (wt) = 0 dt where dx (0) = = 1.5 and x(0) = 6 dt Note that w = 1. Decompose the equation into two first-order differential equations. After the decomposition, solve the system from t = 0 to 15 and plot the results of x versus time and dx/dt versus time.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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25.18 The following is an initial-value, second-order differential equation: d²x + (5x) dx + (x + 7) sin (wt) = 0 dt² dt where dx (0) (0) = 1.5 and x(0) = 6 dt Note that w= 1. Decompose the equation into two first-order differential equations. After the decomposition, solve the system from t = 0 to 15 and plot the results of x versus time and dx/dt versus time.
Transcribed Image Text:25.18 The following is an initial-value, second-order differential equation: d²x + (5x) dx + (x + 7) sin (wt) = 0 dt² dt where dx (0) (0) = 1.5 and x(0) = 6 dt Note that w= 1. Decompose the equation into two first-order differential equations. After the decomposition, solve the system from t = 0 to 15 and plot the results of x versus time and dx/dt versus time.
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