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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=yx
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D
None of these
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Solution

The correct option is C None of these
General equation of straight line passing through origin is y=kx(where k=constant)

y=kx

dydx=k

As, k=yx

dydx=yx

xdy=ydx

xdyydx=0 this is the differential equation of all straight lines passing through origin.


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