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Question

A solution of the differential equation dydx2-xdydx+y=0 is


A

y=2

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B

y=2x

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C

y=2x-4

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D

y=2x2-4

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Solution

The correct option is C

y=2x-4


Explanation for the correct option:

Step 1. Take option C, and Differentiate it with respect to x

y=2x4

dydx=2

Given, dydx2-xdydx+y=0 ……..(1)

Step 2. Put this value in equation (1)

(2)2-x×2+2x-4=0

4-2x+2x+y=0

Therefore, y=2x-4 is satisfied.

Hence, Option ‘C’ is Correct.


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