Ononot — Given the Riccati equation y' = 1 + x^2 - y^2, and a particu

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Differential Equationshard

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Given the Riccati equation $y' = 1 + x^2 - y^2$ , and a particular solution $y_1(x) = x$ , what is the substitution $y = x + \frac{1}{v}$ ?