微分方程习题课---阶微分方程 求通解 1.y'=1 -X+v2 y -xy arctgy=-1/2(x-1)+c 2. x y'+y=y(ny+Inx) e ci/x 3. cos(x+y2)+3y]dx+[2ycos(x+y)+3xdy0 sin(x+y)+3xy=c 4.(2y-3xy)dx-xdy=0 5.3 y'-ysecx=yt UX y=I-sinx-1+cosx(x+c)/(1+sinx)微分方程习题课--- 一阶微分方程 一、求通解 1. y=1-x+y2 -xy2 . arctgy=-1/2(x-1)2+c . 2. x y+y=y(lny+lnx) . y=e c x/x 3. [cos(x+y2 )+3y]dx+[2ycos(x+y2 )+3x]dy=0 sin(x+y2 )+3xy=c 4. (2y-3xy2 )dx-xdy=0 . x 3 -x2 /y=c. 5. 3 y-ysecx=y 4 tgx . y -3=[-sinx-1+cosx(x+c)]/(1+sinx)