## Tutoring on Introduction to Differential Equations

Learning Objectives:

#### Understand and apply Concept of Differential Equations

Math Tutoring on Introduction to Differential Equations

A Differential Equation is an equation that contains an unknown function and its derivative.

e.g.  etc.

To solve a Differential Equation, we want to determine an equation that satisfies the Derivative Equation. This will require Integration.

When solving a Differential Equation in the form , it is helpful to rewrite the equation in Differential Form. Then we can integrate both sides of the equation.

Types of Differential Equations:

1.   Ordinary Differential Equations (ODE) – An Ordinary Differential Equation contains only Ordinary Derivative with respect to one Independent Variable.

2.   Partial Differential Equations (PDE) – A Partial Differential Equation contains Partial Derivatives with respect to two or more Independent Variables.

The Order of a Differential Equation (ODE or PDE) – The Order of a Differential Equation is the Order of the highest derivative in the equation.

Linear and Nonlinear Differential Equations:

1.    A Linear Differential Equation can be written in the form:

Note that –

·       The Dependent Variable and all of its derivatives are always to the first power.

·       There are no products of the function y and its derivatives.

·       The coefficients can be zero, constants, or functions of t.

2.    A Nonlinear Differential Equation is a Differential Equation that is NOT linear.

Learn ‘Math Tutoring on Introduction to Differential Equations with AffordEdu.

Interested in free assessment? Build your personalized study plan with AffordEdu through knowledge map and go for free assessment and free tuition session with math expert. *

Hook Questions:

1.    What is Differential Equations? How to solve it?

2.    What are the Ordinary and Partial Differential Equations?

3.    What is Linear Differential Equation? State some properties of it.

Learn ‘Math Tutoring on Introduction to Differential Equations’ with AffordEdu Online One on One Math Tutoring.

Struggling with Math Tutoring on Introduction to Differential Equations? Need math help for homework? You are not the only one. Fortunately our experts in math tutoring are online now and are ready to help.