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.