求下列齐次型方程的通解: (1)xyˊ=y(1ny-lnx);; (3)xyˊ=xey/x+y; (4)(x+y)yˊ=x-y; (5)(x2+y2)dx-xydy=0; (6)(x+ycosy/x)dx-xcosy/xdy=0.

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问题 求下列齐次型方程的通解:
(1)xyˊ=y(1ny-lnx);
(3)xyˊ=xey/x+y;    (4)(x+y)yˊ=x-y;
(5)(x2+y2)dx-xydy=0;    (6)(x+ycosy/x)dx-xcosy/xdy=0.

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