DIFFERENTIAL EQUATIONS
DIFFERENTIAL EQUATIONS
Differential equation, mathematical statement containing one or more derivatives—that is, terms representing the rates of change of continuously varying quantities. Differential equations are very common in science and engineering, as well as in many other fields of quantitative study, because what can be directly observed and measured for systems undergoing changes are their rates of change. The solution of a differential equation is, in general, an equation expressing the functional dependence of one variable upon one or more others; it ordinarily contains constant terms that are not present in the original differential equation. Another way of saying this is that the solution of a differential equation produces a function that can be used to predict the behavior of the original system, at least within certain constraints.
After completing this session students will be able to understand the differential equations, order and degree of differential equations, formation of differential equations and the solution of the differential equation of the type variables separable, homogeneous equations, Linear equation with constant coefficients and Linear equations of the type dy + p(x) y = Q(x)
dx
Course Features
- Lectures 6
- Quizzes 0
- Duration 50 hours
- Skill level All levels
- Language English
- Students 0
- Certificate No
- Assessments Yes
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BASIC CONCEPTS OF DIFFERENTIAL EQUATIONS
This section describes, what is a differential equation and its Order and Degree
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ORDER AND DEGREE OF DIFFERENTIAL EQUATIONS
In this section explains to find out the order and degree of differential equation
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FORMATION OF DIFFERENTIAL EQUATIONS
This section describes how to form a differential equation, whose solution is given
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VARIABLE SEPARABLE METHOD
This section explains how to convert differential equation in to variable separable and solve
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HOMOGENEOUS EQUATIONS AND SOLUTION
Explains how to convert homogeneous equations into variable separable form and solve
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LINEAR DIFFERENTIAL EQUATIONS
