Form the differential equation corresponding to `y=e^(m x)` by eliminating `mdot`

Explanation

`y=e^{mx}ldots`(1)

Differentiating it with respect to `x`, we get

`{dy}/{dx}=m e^{mx}=eyldots`(2)

From (1) and (2),

`m={log y}/x`

Putting value of `m` in (2), we get

`{dy}/{dx}={{log y}/x}xxy`

`implies x{dy}/{dx}=ylog y`

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