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

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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
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.
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