u( x, y) = e^x(xsiny+ycosy) find the differentials
"du\\left( x,y \\right) =u'_xdx+u'_ydy=\\\\=\\left( e^x\\sin y+xe^x\\sin y+e^xy\\cos y \\right) dx+\\left( e^xx\\cos y+e^x\\cos y-e^xy\\sin y \\right) dy"
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