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Calculus Level 4

If the curve y=A.ex+B.e2x+C.e3xy=A.e^x+B.e^{2x}+C.e^{3x} satisfies the differential equation a.d3ydx3+b.d2ydx2+c.dydx+d.y=0a.\frac{d^3y}{dx^3}+b.\frac{d^2y}{dx^2}+c.\frac{dy}{dx}+d.y=0

Find the value of b×ca×d\dfrac{b \times c}{a \times d}

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