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if y=ae^(x)+be^(-3x)+c, then the value o...

if `y=ae^(x)+be^(-3x)+c`, then the value of `((d^(3)y)/(dx^(3))+2(d^(2)y)/(dx^(2)))/((dy)/(dx))` is

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`y=ae^(x)+be^(-3x)+c`. Differentiating and solving we get
`(d^(3))/(dx^(3))+2(d^(2)y)/(dx^(2))-3(dy)/(dx)=0`
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