Question

Find degree and order of d/dx(dy/dx)3

Answer 1

d/dx (dy/dx)3 3 (dy/dx)^2 Order is 1 Degree is 2

Answer 2

Answer:

The degree is 3 and order is 2.

Step-by-step explanation:

Given : Expression $\frac{d}{dx}(\frac{dy}{dx})^3$

To find : The degree and order of the expression ?

Solution :

Expression $\frac{d}{dx}(\frac{dy}{dx})^3$

Solve,

$\frac{d}{dx}(\frac{dy}{dx})^3=(\frac{d^2y}{dx^2})^3$

Order is defined as the number of the highest derivative in a differential equation.

The highest derivative in a differential equation is 2.

Degree is defined as the power of the highest order derivative in the given differential equation.

The power of the highest order derivative in a differential equation is 3.

Therefore, The degree is 3 and order is 2.