Q. 54.7( 3 Votes )

# Form the differen

Answer :

Equation of the family of curves, y=ae^{bx}, 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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