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The price p t of a product is assumed to satisfy the differential equation A...

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Calculus

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The price p t of a product is assumed to satisfy the differential equation A Show that p t 4 Ce 0 3t Substituting p 4 Ce 0 3t and is the general solution of this differential equation and evaluate p lim p t 1 dp dt dp 1 2 0 3p Complete parts A through C below dt into the differential equation gives on the left side of the equation and 1 2 Simplifying the left side gives and simplifying the right side gives on the right side of the equation This shows that p t 4 Ce is a solution to the differential equation 0 3t

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