(6)(1+2e^x/y)dx+2e^x/y(1-(x)/(y))dy=0.

(2)(e^x+y-e^x)dx+(e^x+y+e^y)dy=0;(2)$(e^{x+y}-e^{x})dx+(e^{x+y}+e^{y})dy=0;$

全微分方程 (1+e^x/y)dx+e^x/y(1-(x)/(y))dy=0 的通解为()A. $x-ye^{x/y}=C$B. $x+ye^{x/y}=C$C

1.微分方程(1-(x)^2)(y)^2dfrac (dy)(dx)+(2(x)^2-1)(y)^3=(x)^3是(1-(x)^2)(y)^2dfrac (dy

(6) (e^x+y-e^x)dx+(e^x+y+e^y)dy=0;(6) $(e^{x+y}-e^{x})dx+(e^{x+y}+e^{y})dy=0;$

()-|||-A (X)=0, E(Y)=2-|||-B (x)=2, E(Y)=0-|||-C (X)=3, E(Y)=1-|||-D (x)=1 E(Y)=

(int )_(0)^1dx(int )_(x)^1(e)^-(y^2)dy= () .-|||-

微分方程((y)^2+2)dx+y((x)^2+1)dy=0的通解为( )((y)^2+2)dx+y((x)^2+1)dy=0((y)^2+2

1.设 sin y+(e)^x-x(y)^2=0 ,求 dfrac (dy)(dx) .

(5) ((e)^x+y-(e)^x)dx+((e)^x+y+(e)^y)dy=0 ;

计算(int )_(0)^1dx(int )_(1-x)^sqrt (1-{x^2)}dfrac (x+y)({x)^2+(y)^2}dy=-|||-dv=__