7.3 Bernoulli’s Equation
Bernoulli’s equation take the
form
In order to solve it, we convert it to linear
type. Multiply both sides by
,
Now substitute
, using
This leads to the equation
If we then define
and
, we have an equation of linear type, which can be dealt
with through an itegrating factor.
Example
7.11:
-
Solve
.
Solution:
-