Question

91. What is the general solution of the differential equation

dy x
---- + --- = 0 ?
dx y

​

Answer 1

Given, xdy−ydx=0

⇒

y

dy

−

x

dx

=0

On integrating, we get

logy−logx=logc

⇒log

x

y

=logc

⇒

x

y

=c

⇒y=cx, which is a straight line passing through the origin.

Hope this helps you mate