1.

The general solution the differential equation\[\frac{dy}{dx}-\frac{\tan \,\,y}{1+x}={{(1+x\,\,e)}^{x}}\sec \,\,y\] is

A. \[\sin (1+x)=y({{e}^{x}}+c)\]
B. \[y\sin (1+x)=c{{e}^{x}}\]
C. \[(1+x)\sin \,\,y={{e}^{x}}+c\]
D. \[\sin \,\,y=(1+x)({{e}^{x}}+c)\]
Answer» E.


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