Consider the Following Initial Value Problem Describing the Motion of a Harmonic

Multiple Choice

Consider the following initial value problem describing the motion of a harmonic oscillator in the absence of friction, but subject to an external force.

Find the Laplace transform X(s) of the solution x(t) of this initial value problem. Here, F(s) stands for the Laplace transform of f(t) .

A) $\frac{1.6 s+1.4+F(s) }{s^{2}+6}$
B) $\frac{-1.6 s-1.4+F(s) }{s^{2}+6}$
C) $\frac{1.6 s-1.4+F(s) }{s^{2}+6}$
D) $\frac{1.4-1.6 s+F(s) }{s^{2}+6}$