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Form a differential equation representing the given family of
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Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

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At present, a firm is manufacturing 2000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by \displaystyle\frac{{{d}{P}}}{{{\left.{d}{x}\right.}}}={100}-{12}\sqrt{{{x}{\dot}}}If the firm employs 25 more workers, then the new level of production of items is

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Question Text
Form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.