Differential Equations Question 68
Question: Solution of differential equation $ xdy-ydx=0 $ represents
[MP PET 1996]
Options:
A) Rectangular hyperbola
B) Straight line passing through origin
C) Parabola whose vertex is at origin
D) Circle whose centre is at origin
Show Answer
Answer:
Correct Answer: B
Solution:
$ ydx-xdy=0 $
Therefore $ \frac{1}{x}dx=\frac{1}{y}dy $
On integrating, $ \log x=\log y+\log c $
Therefore $ \log \frac{x}{y}=\log c $
Therefore $ x=cy $
It is a straight line passing through origin.
BETA
