Lecture1(Differential Equation)

Equation:

A Equation in which we have equal Sign

Differential Equation:

An Equation in which derivatives are involved is known as a differential Equation.

Types Of Differential Equations:

There are Two Types of Differential Equations

1-Ordinary Differential Equation(ODE)

2-Partial Differential Equation(PDE)

Ordinary Differential Equation(ODE):

An Ordinary Differential Equation is a Mathematical Equation that involves one or more functions of a single variable and their derivatives.

Partial Differential Equation(PDE):

A Partial Differential Equation is a type of differential Equation that invloves functions of multiple independent variables and their partial derivatives.

Order:

The term "Order" refers to the highest derivative Present in the equation.

For Example: 

y''+3y'-2y=0 (2nd Order)

Degree:

The term "Degree" refers to the Power of the highest derivative 

For Example: 

(y'')^2+3y'^3-2y=0 (Degree 2)

Linear/Non-Linear:

Liner and non-linear are the terms used to describe different types of relationships between variables and functions.  

Families Of Function(ILATE):

I: Inverse 

L: Log 

A: Algebraic 

T: Trignometic

E: Exponential