Q5 of 68 Page 910

Form the differential equation of the family of curves y=aebx, where a and b are arbitrary constants.

Equation of the family of curves, y=aebx, where a and b are arbitrary constants.

Differentiating the above equation with respect to x on both sides, we have,


(1)


(2)



(Multiplying both sides of the equation by y)


(Substituting equation 2 in this equation)



This is the required differential equation.


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