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Q.The solution of the differential equation d2ydx2−3dydx+2y=0\dfrac{d^2 y}{dx^2} - 3 \dfrac{dy}{dx} + 2y = 0 is

a
y=(A+Bx)exy = (A + Bx)e^x
b
y=(A+Bx)e2xy = (A + Bx)e^{2x}
c
y=Aex+Be2xy = A e^x + B e^{2x}
d
y=Ae−x+Be−2xy = A e^{-x} + B e^{-2x}

Correct Answer: Option C

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

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