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Question

The differential equation of all straight lines passing through origin is


A

y=xdydx

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B

dydx=y+x

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C

dydx=y-x

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D

None of these

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Solution

The correct option is D

None of these


Explanation for the correct option:

Finding the differential equation:

Given that all straight lines are passing through the origin.

The equation is,

y=kxk=constant...i

On differentiating the above equation we get,

dydx=k

On substituting ‘k’ in equation i, we get

y=dydxxdydx=yx

dydx=yxis the required differential equation

Hence, option (D) is the correct answer.


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