dy/dx=-(x+y)/x通解

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dy/dx=-(x+y)/x通解dy/dx=-(x+y)/x通解dy/dx=-(x+y)/x通解设y=ux,dy/dx=u+xdu/dx原式化为u+xdu/dx=-1-udu/(1+2u)=-dx/x

dy/dx=-(x+y)/x通解
dy/dx=-(x+y)/x通解

dy/dx=-(x+y)/x通解
设y=ux,dy/dx=u+xdu/dx
原式化为u+xdu/dx=-1-u
du/(1+2u)=-dx/x
(1/2)ln|1+2u|=-ln|x|+lnC1
1+2y/x=C2/x^2
x^2+2xy=C

dy/dx=-(x+y)/x通解微分方程(x+y)(dx-dy)=dx+dy的通解 dy/dx=-y/x 的通解 dy/dx=x+y的通解 dy/dx=-x/y 求通解如题.dy/dx=-x/y 求通解 x*dy/dx=y+x*x的通解 (x+y)dy+(x-y)dx=0求通解 dy/dx=(x+y)/(x-y)求通解求微积分dy/dx=y/x+x的通解 dy/dx=(e^x+x)(1+y^2)通解 dy/dx-3y/x=x^3 的通解 dy/ dx +2y=x*e^x的通解, 方程dy/dx=y/x+y的通解 (dy/dx)=y/(y-x)求微分方程通解.. 求dy/dx=x/y+(cosx/y)^2通解 dy/dx=x(1+y^2)/y通解 (4y^3-x)dy/dx=y 求通解微分方程dy/dx=y/(x+y^2)的通解?