1.

What is the solution of the differential equation\[\frac{dx}{dy}+\frac{x}{y}-{{y}^{2}}=0\]?

A. \[xy={{x}^{4}}+c\]
B. \[xy={{y}^{4}}+c\]
C. \[4xy={{y}^{4}}+c\]
D. \[3xy={{y}^{3}}+c\] where c is an arbitrary constant.
Answer» D. \[3xy={{y}^{3}}+c\] where c is an arbitrary constant.


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