Chapter 2.7, Problem 17P

In each of Problems $13$ through $22$:

Write the Bernoulli equation in the proper form (19).

Solve the equation.

Use a computer to draw several integral curves.

$5\left(1+t^2\right)\frac{dy}{dt}=4ty\left(y^3-1\right)$

Bernoulli Differential Equation. Adifferential equation of the form

$\frac{dy}{dt}+q\left(t\right)y=r\left(t\right)y^n$, (19)

Where $n$ is any real number, is called a Bernoulli equation.