Question

The general solution of differential equation dy/dx=y/x is

Answer 1

Answer:

mason m

Aug 2, 2016

y

=

C

x

Explanation:

We can separate the variables:

d

y

d

x

=

y

x

⇒

d

y

y

=

d

x

x

Integrate both sides:

∫

d

y

y

=

∫

d

x

x

⇒

ln

(

y

)

=

ln

(

x

)

+

C

So:

y

=

e

ln

(

x

)

+

C

=

e

ln

(

x

)

⋅

e

C

=

C

x