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.

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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