Chapter 9.1, Problem 2PQ

To determine

(a)

Whether $y^1=x+y$ is directly integrable or not.

To determine

(b)

$x\frac{dy}{dx}=3$ is directly integrable or not.

To determine

(c)

$\frac{dP}{dt}=4P\left(t\right)$ is directly integrable or not.

To determine

(d)

$\frac{dw}{dt}=\frac{2t}{1+4t}$ is directly integrable or not.

To determine

(e)

$\frac{dx}{dt}=t^2{e}^{-3t}$ is directly integrable or not.

To determine

(f)

$t^2\frac{dx}{dt}=x-1$ is directly integrable or not.