In Problems 11 and 12 show that the substitution leads to a Bernoulli equation. Solve this equation (see Section 2.5).
In this problem we need to show that the substitution leads to a Bernoulli equation and then solve the equation .
Given equation is .
Substitute in above equation we get.
Now, the above equation is in the form of (which is Bernoulli equation).
Here, n = 3.
Both sides divide with we get.
Substitute these values in equation (1) we get.
Integrating factor is
Multiply the equation both sides with we get.
Integrating on both sides we get.