1.

The solution of the differential equation \[\frac{dy}{dx}=(1+x)(1+{{y}^{2}})\] is

A. \[y=\tan ({{x}^{2}}+x+c)\]
B. \[y=\tan (2{{x}^{2}}+x+c)\]
C. \[y=\tan ({{x}^{2}}-x+c)\]
D. \[y=\tan \left( \frac{{{x}^{2}}}{2}+x+c \right)\]
Answer» E.


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