Question

Determine order and degree (if defined) of differential equation: $\frac{d^4y}{dx^4} + sin(y"')=0$

Answer 1

Answer:

Order=4

Degree=not defined

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.

$\frac{d^4y}{dx^4} + sin(y"')=0$

here highest numbered derivative is 4

So, order is 4

That highest number derivative raised to power 1,but third order derivative is also with trigonometric function sin,in such case degree is not defined.

Hope it helps you.