#### Question

The degree of the differential equation

`((d^2y)/(dx^2))^3 + ((dy)/(dx))^2 + sin ((dy)/(dx)) + 1 = 0`

**(A)** 3

**(B)** 2

**(C)** 1

**(D)** not defined

#### Solution

`((d^2y)/(dx^2))^3 + ((dy)/(dx))^2 + sin ((dy)/(dx)) + 1 = 0`

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

Hence, the correct answer is D.

Is there an error in this question or solution?

Solution The Degree of the Differential Equation ((D^2y)/(Dx^2))^3 + ((Dy)/(Dx))Sqrt2 + Sin ((Dy)/(Dx)) + 1 = 0 Concept: Order and Degree of a Differential Equation.