Question

Solution of the differential equation `xdy - ydx =0`
represents a
A. parabola
B. circle
C. hyperbola
D. straight line

Answer 1

Correct Answer - 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 .