1.

The solution of \[\frac{dy}{dx}=\frac{{{x}^{2}}+{{y}^{2}}+1}{2xy}\] satisfying y(1)=1 is given by

A. a system of parabolas
B. a system of circles
C. \[{{y}^{2}}=x(1+x)-1\]
D. \[{{(x-2)}^{2}}+{{(y-3)}^{2}}=5\]
Answer» D. \[{{(x-2)}^{2}}+{{(y-3)}^{2}}=5\]


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