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Solution of the differential equation xd...

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

A

parabola

B

circle

C

hyperbola

D

straight line

Text Solution

Verified by Experts

The correct Answer is:
b
Given differential equation is
` xdy = ydx`
` rArr (dy)/y = (dx)/x rArr int (dy)/y = int (dx)/x`
` rArr log_(e) y = log_(e)x+ log_(e)C`
` rArr y = Cx`
which is a straight line .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIAL EQUATION-MHT CET Corner
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