# What is a solution to the differential equation #dy/dx=y/x#?

##### 1 Answer

Aug 2, 2016

#### Explanation:

We can separate the variables:

#dy/dx=y/x" "=>" "dy/y=dx/x#

Integrate both sides:

#intdy/y=intdx/x" "=>" "ln(y)=ln(x)+C#

So:

#y=e^(ln(x)+C)=e^ln(x)*e^C=Cx#