Chapter 9, Problem 13FOT

To determine

(a)

Find out whether the differential equation $y^{\prime }=y$ is separable or not.

To determine

(b)

Find out whether the differential equation $y^{\prime }=x+y$ is separable or not.

To determine

(c)

Find out whether the differential equation $y\text{'}=xy$ is separable or not.

To determine

(d)

Find out whether the differential equation $y\text{'}=\sin \left(x+y\right)$ is separable or not.

To determine

(e)

Find out whether the differential equation $y\text{'}-xy=0$ is separable or not.

To determine

(f)

Find out whether the differential equation $y\text{'}=y/x$ is separable or not.

To determine

(g)

Find out whether the differential equation $y^{\prime }=\ln \left(xy\right)$ is separable or not.

To determine

(h)

Find out whether the differential equation $y\text{'}=\left(\sin x\right)\left(\cos y\right)$ is separable or not.

To determine

(i)

Find out whether the differential equation $y\text{'}=\left(\sin x\right)\left(\cos xy\right)$ is separable or not.

To determine

(j)

Find out whether the differential equation $y\text{'}=x/y$ is separable or not.

To determine

(k)

Find out whether the differential equation $y\text{'}=2x$ is separable or not.

To determine

(l)

Find out whether the differential equation $y\text{'}=\left(x+y\right)\left(x+2y\right)$ is separable or not.