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Q.The differential equation of the family of curves y=A+Be2xy = A + B e^{2x} is

a
d2ydx2−2dydx=0\dfrac{d^2 y}{dx^2} - 2 \dfrac{dy}{dx} = 0
b
d2ydx2+2dydx=0\dfrac{d^2 y}{dx^2} + 2 \dfrac{dy}{dx} = 0
c
d2ydx2=0\dfrac{d^2 y}{dx^2} = 0
d
d2ydx2−4y=0\dfrac{d^2 y}{dx^2} - 4y = 0

Correct Answer: Option A

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

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