Ononot — Consider the nonlinear equation y' = x^2 + y^2. This is a Ri

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Differential Equationshard

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Consider the nonlinear equation $y' = x^2 + y^2$ . This is a Riccati equation. If $y_1(x) = x$ is not a solution, but the equation can be related to a second-order linear ODE, what is the transformation $y = \frac{u'}{u}$ ?