Chapter 10.1, Problem 2PQ

a.

To determine

To find:Whether the differential equation $y\text{'}=x+y$ is directly integrable.

b.

To determine

To find: Whether the differential equation $x\frac{dy}{dx}=3$ is directly integrable.

c.

To determine

To find: Whether the differential equation $\frac{dP}{dt}=4P+1$ is directly integrable.

d.

To determine

To find: Whether the differential equation $\frac{dw}{dt}=\frac{2t}{1+4t}$ is directly integrable.

e.

To determine

To find: Whether the differential equation $\frac{dx}{dt}=t^2{e}^{-3t}$ is directly integrable.

f.

To determine

To find: Whether the differential equation $t^2\frac{dx}{dt}=x-1$ is directly integrable.