Methods Of Solving First Order, First Degree Differential Equations
Chapter Name : Differential Equations |
Sub Topic Code : 104_12_09_05_01 |
Topic Name : Methods Of Solving First Order, First Degree Differential Equations |
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Sub Topic Name : Differential Equation With Variable Separable |
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Introduction
Differential equations are classified into various groups in order to have unique solving technique for a particular type of equation. As the name suggest we separate the variables of x and y in order to integrate them separately to get the solution.
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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Real life uses :
This technique is used to solve the equation of the form dy/dx = F(x,y) such that F(x,y) = g(x) * h(y).
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
How to solve the differential equation by separating the variable of x and y?