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Question

Mathematics Question on Differential equations

The order of the differential equation 2x2d2ydx23dydx+y=02x^2\,\frac{d^2y}{dx^2}-3\frac{dy}{dx}+y=0 is

A

2

B

1

C

0

D

Not Defined

Answer

2

Explanation

Solution

2x2d2ydx23dydx+y=02x^2\,\frac{d^2y}{dx^2}-3\frac{dy}{dx}+y=0
The highest order derivative present in the given differential equation is d2ydx2\frac{d^2y}{dx^2}.
Therefore, its order is two.

Hence, the correct answer is A. (2)