Q. 23.7( 6 Votes )

Form the differential equation corresponding to y = emx by eliminating m.

Answer :

Given equation, y = emx

On differentiating the above equation with respect to x we get

But y = emx

Now we have, y = emx

Applying log on both sides, we get,

log y = mx

which gives

So, putting this value of m in we get

Hence, is the differential equation corresponding to y = emx.

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