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Question

Family y=Ax+A3 of curves represented by the differential equation of degree


A

Three

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B

Two

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C

One

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D

None of these

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Solution

The correct option is A

Three


Explanation for the correct option:

Step 1. Differentiate the given equation:

y=Ax+A3

dydx=A

Step 2. Put the value of dydx in the given equation:

y=xdydx+dydx3

Thus, it is a degree 3 differential equation.

Hence, Option ‘A’ is Correct.


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