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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