微分方程(siny+y^2sinx)dx+(xcosy-2ycosx)dy=0.求详解.

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微分方程(siny+y^2sinx)dx+(xcosy-2ycosx)dy=0.求详解.
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微分方程(siny+y^2sinx)dx+(xcosy-2ycosx)dy=0.求详解.
微分方程(siny+y^2sinx)dx+(xcosy-2ycosx)dy=0.求详解.

微分方程(siny+y^2sinx)dx+(xcosy-2ycosx)dy=0.求详解.
(sinydx+xcosydy)+(y^2sinxdx-2ycosx)dy=0
[sinydx+xd(siny)]+[y^2d(-cosx)-cosx(dy^2)]=0
d(xsiny)+d(-y^2cosx)=0
d(xsiny-y^2cosx)=0
xsiny-y^2cosx=C,C为任意常数.

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