Q. 65.0( 2 Votes )

Show that y = AeBx is a solution of the differential equation

Answer :

The differential equation is and the function to be proven as the solution is y = AeBx, now we need to find the value of and .

= ABeBx

= AB2eBx

Putting values in the equation,

L.H.S. = R.H.S.

As, L.H.S = R.H.S. the equation is satisfied, so hence this function is the solution of the differential equation.

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