Methods Of Solving First Order, First Degree Differential Equations
Chapter Name : Differential Equations |
Sub Topic Code : 104_12_09_05_03 |
Topic Name : Methods Of Solving First Order, First Degree Differential Equations |
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Sub Topic Name : Linear Differential Equations |
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Introduction
• Any differential equation of the form dy/dx + Py = Q Where ‘P’ and ‘Q’ may be constants or function of ‘x’ only is known as linear differential equation. These equations are solved by multiplying integrating factor to both the sides is which is e?P.dx.
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 Linear Differential Equations? What is integrating factor? How it is used to solve linear differential equation?