Solve the differential equation `(dy)/(dx)=(1)/(x)`.

Explanation

`(dy)/(dx)=(1)/(x)`
Integrate both sides with respect to `x`
`int(dy)/(dx)*-dx=int(1)/(x)dx+c`
`implies intdy=int(1)/(x)dx+c`
`implies y=log_(e)x+c`.