Question

Determine order and degree (if defined) of differential equation: [tex]\frac{d^2y}{dx^2}=cos 3x +sin 3x

Answer 1

Answer: 

Order=2

Degree=1

Solution:

Order of differential equation: Order is the highest numbered derivative in the equation.

Degree of differential equation: Degree is the highest power to which highest numbered derivative is raised when equation is free from radicals.

$\frac{d^2y}{dx^2}=cos 3x +sin 3x$

here highest numbered derivative is 2

So, order is 2

That highest number derivative raised to power 1,and trigonometric function does not include any derivative.

So, it's Degree is 1.

Hope it helps you.