Chapter 1.1, Problem 3E

(a)

To determine

The order of the differential equation $\frac{{\partial }^{2}y}{\partial t^2}=c^2\frac{{\partial }^{2}y}{\partial x^2}$ when $c>0$.

(b)

To determine

Whether the partial differential equation $\frac{{\partial }^{2}y}{\partial t^2}=c^2\frac{{\partial }^{2}y}{\partial x^2}$ is linear or not.