求下列微分方程的通解: (1)yˊ+y=e-x; (2)yˊ+2xy=4x; (3)xyˊ=x-y; (4)(x2+1)yˊ+2xy=4x2; (5)xyˊ+y=xex; (6)yˊ+ytanx=cosx; (7)xyˊ+(1-x)y=e

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问题 求下列微分方程的通解:
(1)yˊ+y=e-x;    (2)yˊ+2xy=4x;
(3)xyˊ=x-y;    (4)(x2+1)yˊ+2xy=4x2
(5)xyˊ+y=xex;    (6)yˊ+ytanx=cosx;
(7)xyˊ+(1-x)y=e2x;    (8)(y2-6x)yˊ+2y=0;
(9)(x2-1)dy+(2xy-cosx)dx=0;    (10)ydx+(xy+x-ey)dy=0.

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