Chapter 8.1, Problem 29ES

(a) Suppose that a particle moves along an s-axis in such a way that its velocity $\upsilon (t)$ is always half of $s(t).$ Find a differential equation whose solution is $s(t).$

(b) Suppose that an object moves along an s-axis in such a way that its acceleration $a\left(t\right)$ is always twice the velocity. Find a differential equation whose solution is $s(t).$