Class 12 Maths Differential Equations What is differential equation

What is differential equation?


An equation that involves a relationship between a function and one or more derivatives is called a differential equation.


Example:  a * dy/dx + x = y  A Derivative form

dy/dx = cos x


Above are the examples of differential equation since it involve a derivative form and the function in form of x and y.


But,
ax2+bx+c=0 or x * sinx - x=1. These equations have variable x but do not include their derivatives hence these functions are not differential equation

Hyperbola equation

 
Hyperbola Equation is not a differential equation

  

Similarly y=sinx not a differential Equation  


Notation used

For nth order 

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