Question

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

Answer 1

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

⇒y''' '+sin(y''')=0

The highest order derivative present in the differential equations is y''' '.Therefore, its order is four.

The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.