Formation Of A Differential Equation Whose General Solution Is Given
Chapter Name : Differential Equations |
Sub Topic Code : 104_12_09_04_01 |
Topic Name : Formation Of A Differential Equation Whose General Solution Is Given |
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Sub Topic Name : Formation Of A Differential Equation Whose General Solution Is Given |
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Introduction
We can convert any equation (whose both L.H.S and R.H.S are differentiable) into its differential form simply by differentiating its both sides w.r.t any variable. The differential equation represents a family of the curve from which it has been obtained.
Pre-Requisites:
Definite Integration, Indefinite Integration, Differentiation, Limit, Continuity, Differentiability
Activity:
Differential equation in physical world.
Real Life Question:
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Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| 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. |
| 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. |
| Differential Equation | In general, an equation-involving derivative (derivatives) of the dependent variable with respect to independent variable (variables) is called a differential equation. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| differential equation chart | To know about differential equation |
Real life uses :
It is used to represent equation of the family of any curve into its differential form.
Places to visit :
Math libary
Practical examples around us
| Examples | Explainations |
|---|---|
| differential equation | In the physical world |
What you learn in Theory:
How to get a differential equation from its general solution? How to convert equation of any curve into its differential form?
What you learn in Practice:
How to convert equation of any curve into its differential form?