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JEEMAIN and NEET
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Mathematics
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Class12
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Differential Equations
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Determine functions $y= 2e^{-x}+ 3e^{2x}$ is solution to which of following differential equation
$(a)\;\frac{d^2y}{dx^2}=2y+x \\ (b)\;\frac{d^2y}{dx^2}=\frac{dy}{dx}+2y \\ (c)\;\frac{d^2y}{dx^2}=\frac{dy}{dx}+x \\ (d)\;\frac{d^2y}{dx^2}=\frac{dy}{dx}+y $
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