y/x=ln(xy) 求dy/dx(xy-y^2)/(xy+x^2)

y/x=ln(xy) 求详 dy/dx y/x=ln(xy) 求dy/dx(xy-y^2)/(xy+x^2) x/y=ln(xy)求隐函数y的导数dy/dx, 已知sin(xy)-ln((x+1)/y)=1 求dy/dx 求由隐函数y=ln(xy)所确定的函数y=y(x)的导数dy/dx xy+㏑ y+㏑ x=0 求dy/dx xy=e^(x+y)求dy/dx 求dy/dx+y/x=e^(xy) 设sin(x+y)=xy,求dy/dx. x^2+xy+y^3=1,求dy/dx e∧x+y=xy,求dy/dx 求通解:(xy-x^2)dy=y^2dx 下面都是求微分方程的通解：1、(y^-2xy)dx+x^2dy=0 2、(x^2+y^2)dy/dx=2xy 3、xy’-y=xtan(x/y)4、xy’-y=(x+y)ln[(x+y)/x] 5、xy’=√(x^2-y^2) +y新手求学,请大哥大姐们指点下~ dy/dx=3xy+xy^2.求y. 求导：xy=x-e^xy,求dy/dx x/y=ln(xy)导数dy/dx拜托了各位 我解出的答案是y'=xy-y^2/xy+x^2 设xy-e^xy=e 求dy/dx是=-y/x吧？ 1.求（xy^2+x）dx+（xy^2-y）dy=0的通解