1.

The solution of  \[y{{e}^{-x/y}}dx-(x{{e}^{-x/y}}+{{y}^{3}})dy=0\] is

A.                 \[\frac{{{y}^{2}}}{2}+{{e}^{-x/y}}=k\]    
B.                 \[\frac{{{x}^{2}}}{2}+{{e}^{-x/y}}=k\]
C.                 \[\frac{{{x}^{2}}}{2}+{{e}^{x/y}}=k\]     
D.                 \[\frac{{{y}^{2}}}{2}+{{e}^{x/y}}=k\]
Answer» B.                 \[\frac{{{x}^{2}}}{2}+{{e}^{-x/y}}=k\]


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