3. DIFFERENTIL EQUATION
An equation which involves unknown function of one or several
variables that relates the values of the function itself and its
derivatives of various orders.
Ordinary differential equation (ode) : not involve partial
derivatives
Partial differential equation (pde) : involves partial derivatives
4. LINEAR DIFFERENTIAL EQUATION
› A differential equation is linear, if
Dependent variable and its derivatives are of degree one
Coefficients of a term does not depend upon dependent
variable.
• A linear first order equation is an equation that can be
expressed in the form
ⅆ𝑦
ⅆ𝑥
+ 𝑝 𝑥 𝑦 = 𝑄 𝑥
Where P and Q are function of x
10. BERNOULL`S EQUATION
The general form of Bernoull`s equation is
ⅆ𝑦
ⅆ𝑥
+ 𝑝 𝑥 𝑦 = 𝑄 𝑥 𝑦 𝑛
where n not equal to 0,1 and P and Q are function of x or
constant.
Dividing this equation by 𝑦 𝑛
it can be easily reduced to
linear differential equation.