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Q.The differential equation representing the family of curves $y = e^{kx}$ is

a

\dfrac{dy}{dx} = k y

b

\dfrac{d^2 y}{dx^2} = k y

c

y \dfrac{d^2 y}{dx^2} = (\dfrac{dy}{dx})^2

d

y \dfrac{dy}{dx} = k

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

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