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Question: The order and degree of \(\frac{d^{2}y}{dx^{2}} = \sin\left( \frac{dy}{dx} \right) + x\) is...

The order and degree of d2ydx2=sin⁡(dydx)+x\frac{d^{2}y}{dx^{2}} = \sin\left( \frac{dy}{dx} \right) + x is

A

2, 1

B

Order 2, degree not defined

C

2, 0

D

None of these

Answer

Order 2, degree not defined

Explanation

Solution

As the highest order derivative involved is d2ydx2\frac{d^{2}y}{dx^{2}}. Hence order is 2.

The given differential equation cannot be written as a polynomial in derivatives, the degree is not defined.