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These are equations, Calculus-style. From modeling real-world phenomenon, from the path of a rocket to the cooling of a physical object, Differential Equations are all around us.

If \(\displaystyle \frac{dy}{dx}=9x^2y\) and \(y(0)=6,\) which of the following is true?

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If \(\displaystyle \frac{dy}{dx}=\frac{8x}{y}\) and \(y(0)=3,\) which of the following is true?

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If \(\displaystyle \frac{dy}{dx}=e^y\) and \(y=0\) when \(x=6,\) which of the following is true?

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