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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

ConceptOrder and Degree of a Differential Equation

#### 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

#### Video TutorialsVIEW ALL [3]

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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