The following is an initial value, second order differential Equation d2x dt2 (5x) dx dt (x 7) sin(t) 0 Where dx dt (0) 1 5 and x (0) 6 Note that 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

Question: The following is an initial value, second-order differential Equation: d2x/dt2 + (5x) dx/dt + (x + 7) sin(t) = 0 Where dx/dt (0) = 1.5

The following is an initial value, second-order differential

Equation:

d2x/dt2 + (5x) dx/dt + (x + 7) sin(ωt) = 0

Where

dx/dt (0) = 1.5 and x (0) = 6

Note that ω = 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.

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