Chapter 1, Problem 4RE

(a)

To determine

Whether the differential equation $m{x}^{″}+kx=\sin t$ is an ordinary differential or a partial differential equation if $x=x\left(t\right)$.

(b)

To determine

The order of the differential equation $m{x}^{″}+kx=\sin t$.

(c)

To determine

Whether the differential equation $m{x}^{″}+kx=\sin t$ is linear or non-linear.