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A 2×3 matrix times a 3×5 matrix is:

The system x’ = cos(x)x + sin(y)yy’ = cos(y)x + sin(x)y is linear.

The system x’ = 2x + 2y + 3y’ = -x + y + 1 is homogeneous.

I know that my camera is expected to show my face and my work area.

If A is a real 2×2 matrix and has eigenvalues λ, μ that are purely imaginary, then solution curves x(t) of x’ = Ax are always circles. 

If cos c = x, then c must be the quantity arccos(x).

The quasi-frequency of an underdamped, free harmonic oscillator is:

Match mathematically corresponding quantities in the spring-mass system with position y(t) as the unknown, and the electrical RLC circuit with current I(t) as the unknown.

The oscillations of an undamped, free harmonic oscillator will continue at constant amplitude and frequency forever.

The Laplace transform of a linear combination of functions is the linear combination of the Laplace transforms of the individual functions.