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

= ABe^Bx

= AB²e^Bx

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.