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} $

Question

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} $

Quizplus · Accepted Answer

The Answer of 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} $

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