1.

The solution of the differential equation \[\frac{dy}{dx}=\frac{xy}{{{x}^{2}}+{{y}^{2}}}\]is

A.                 \[a{{y}^{2}}={{e}^{{{x}^{2}}/{{y}^{2}}}}\]     
B.                 \[ay={{e}^{x/y}}\]
C.                 \[y={{e}^{{{x}^{2}}}}+{{e}^{{{y}^{2}}}}+c\]
D.                 \[y={{e}^{{{x}^{2}}}}+{{y}^{2}}+c\]
Answer» B.                 \[ay={{e}^{x/y}}\]


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