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The Order of the Differential Equation 2x^2 (D^2y)/(Dx^2) - 3 (Dy)/(Dx) + Y = 0 - CBSE (Science) Class 12 - Mathematics

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Question

The order of the differential equation

`2x^2 (d^2y)/(dx^2) - 3 (dy)/(dx) + y = 0` is

(A) 2

(B) 1

(C) 0

(D) not defined

Solution

`2x^2 (d^2y)/(dx^2) - 3 (dy)/(dx) + y = 0`

The highest order derivative present in the given differential equation is `(d^2y)/(dx^2)`. Therefore, its order is two.

Hence, the correct answer is A.

  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: 12 | Page no. 383
Solution The Order of the Differential Equation 2x^2 (D^2y)/(Dx^2) - 3 (Dy)/(Dx) + Y = 0 Concept: Order and Degree of a Differential Equation.
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