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From the differential equation corresponding to the curve y = ae^bx, a and b are arbitarry constant.

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From the differential equation corresponding to the curve y = aebx, a and b are arbitarry constant.

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Given, y = aebx ...(1)

Differentiating (1) w.r.t. 'x' we get

dy/dx = abebx = b.aebx = by 

Again, from (2)

Which is require differential Equation.

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