Find the solution of \( \left(y \frac{d y}{d x}+2 x\right)^{2}=\left(y^{2}+2 x^{2}\right)\left[1...
Find the solution of \( \left(y \frac{d y}{d x}+2 x\right)^{2}=\left(y^{2}+2 x^{2}\right)\left[1+\left(\frac{d y}{d x}\right)^{2}\right] \), and hence find the curve passing through \( (1,0) \).
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