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 |
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Sub Topic Name : Homogeneous Differential Equations |
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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) |
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| Differential Equation | In general, an equation-involving derivative (derivatives) of the dependent variable with respect to independent variable (variables) is called a differential equation. |
| 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. |
| 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. |
Learning aids / Gadgets
| Gadgets | How it can be used |
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Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
How to solve the homogeneous differential equation?