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dy/dx=(x(2logx+1))/(siny+ycosy)...

`dy/dx=(x(2logx+1))/(siny+ycosy)`

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Solve (dy)/(dx)=(x(2logx+1))/(siny+y cosy)

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Solution of (dy)/(dx)=(xlogx^(2)+x)/(siny+ycosy) is

x dy/dx+y=y^2 logx

x dy/dx+y=y^2 logx

x(dy)/(dx)=y(logy-logx+1)

x(dy)/(dx)=y(logy-logx-1)

x(dy)/(dx)=y(logy-logx+1)