Bernoulli Equation The nonlinear equation(where a ≠ 0, a ≠ 1) is called a Bernoulli equati...

Bernoulli Equation The nonlinear equation

(where a ≠ 0, a ≠ 1) is called a Bernoulli equation and can be transformed into a linear equation.4 It already looks almost linear, except for yα on the right side.

(a) Divide (19) by yα and then show that the transformation

reduces (19) to a linear equation in ν.

(b) Use the transformation in (a) to solve the Bernoulli equation y′ − y = y3.

(c) Explain how to solve the given Bernoulli equation when α = 0 and when α = 1.