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Solution of the differential equation xd...

Solution of the differential equation `xdy-ydx=0` represents

A

Rectangular hyperbola

B

Straight line through the origin

C

parabola whose vertex is at origin

D

circle whose centre is at origin

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Verified by Experts

The correct Answer is:
B
xdy -ydx =0
`Rightarrow xdy = ydx `
` Rightarrow int 1/y dy = int 1/x dx`
` Rightarrow log y = log x +log c`
` Rightarrow log y= log cx`
`Rightarrow y = cx`
Thus, the solution of equation xdy - ydx=0 represents stragiht line passing throug the origin.
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