Question

Find the order and degree of the D.E's

Question = (d³y/dx³)² - 3(dy/dx)⁵ - eˣ = 4

Answer 1

Hello,

Definition of order of differential equation:

The highest order derivative is the order of the equation.

Degree: The highest order derivative raised to which power is known as degree.If the given differential equation is in polynomial form.

So,in present case

(d³y/dx³)² - 3(dy/dx)⁵ - eˣ = 4

higher order derivative is 3, i.e. d^3y/dx^3

order is 3.

Higher order derivative raised to power 2, so degree is 2.

Order: 3 and degree: 2

Hope it helps you

Answer 2

Answer:

order is 3 and degree is 2

Step-by-step explanation:

The derivative form d³y/dx³ contain the highest power compared to dy/dx.

Power of d³y/dx³ = 3

Power of dy/dx = 1

So, the order of the differential equation is 3

The order of the equation which contains power as 2 becomes the degree of the differential equation

So, the degree of the differential equation is 2