Differentiating equations

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  The system of differential equations is: (1) y_1'=y_2 and (2) y_2'=-y_1. Then, differentiating both sides of (2) gives y_2''=-y_1' and using (1) gives y_2''=-y_2.

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  → Total revenue for firm 1 is TR1 = P1*Q1 = P1*(88 - 4P1 + 2P2) = 88P1 - 4P12 + 2P1P2 Marginal revenue for firm 1 is obtained by differentiating TR1 with respect to P1 MR1 = 88 - 8P1 + 2P2 Marginal cost curve for firm 1 is obtained by differentiating