Share

# The Degree of the Differential Equation ((D^2y)/(Dx^2))^3 + ((Dy)/(Dx))Sqrt2 + Sin ((Dy)/(Dx)) + 1 = 0 - CBSE (Science) Class 12 - Mathematics

ConceptOrder and Degree of a Differential Equation

#### 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?

#### APPEARS IN

NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 9: Differential Equations
Q: 11 | Page no. 383

#### Video TutorialsVIEW ALL [3]

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.
S