Methods Of Solving First Order, First Degree Differential Equations
Chapter Name : Differential Equations |
Sub Topic Code : 104_12_09_05_02 |
Topic Name : Methods Of Solving First Order, First Degree Differential Equations |
Sub Topic Name : Homogeneous Differential Equations |
Introduction
• Homogeneous Function are those function which satisfy F(£x , £y) = £n F(x , y) and ‘n’ is said to be degree of the function.
• A differential equation of the form dy/dx = F (x, y) is said to be homogenous if F(x,y) is a homogenous function of degree zero.
Pre-Requisites:
Definite Integration, Indefinite Integration, Differentiation, Limit, Continuity, Differentiability
Key Words / FlashCards
| Key Words |
Definitions (pref. in our own words) |
| Differential Equation |
In general, an equation-involving derivative (derivatives) of the dependent variable with respect to independent variable (variables) is called a differential equation.
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| Order of a Differential Equation |
Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given differential equation.
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| Degree of a Differential Equation |
Degree of a differential equation is the highest power (positive integral index) of the highest order derivative involved in the given differential equation.
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Learning aids / Gadgets
| Gadgets |
How it can be used |
Practical examples around us
What you learn in Theory:
How to solve the homogeneous differential equation?
