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Formation of a Differential Equation from a General Solution

if y=x2-9x+...

Question

if $y = x^{2} - 9 x + 5$ find $\frac{d y}{d x}$

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Solution

$y = x^{2} - 9 x + 5 \frac{d}{d x} y = \frac{d}{d x} (x^{2} - 9 x + 5) \frac{d y}{d x} = 2 x - 9$

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