计算=|(siny-y^3)dx+(x^3 +xcosy)dy,其中=|(siny-y^3)dx+(x^3 +xcosy)dy为沿=|(siny-y^3)dx+(x^3 +xcosy)dy由点=|(siny-y^3)dx+(x^3 +xcosy)dy到点=|(siny-y^3)dx+(x^3 +xcosy)dy的弧段

+2y)dx+(2x+3(y)^2)dy在整个xoy平面内是某一函数+2y)dx+(2x+3(y)^2)dy的全微分，则+2y)dx+(2x+3(y)^2)dy

计算曲线积分siny+y+π)dx+(e^2cosy -x)dy-|||-L;式中L是从点A(1,0)经下半圆周siny+y+π)dx+(e^2cosy -x)

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

求微分方程(x^3-y^2)dx+(x^2y+xy)dy=0,的通解。(1)(14分)求微分方程$(x^{3}-y^{2})dx+(x^{2}y+xy)dy=0

(3)(x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0,y|_(x=1)=1;(3)$(x^{2}+2xy-y^{2})dx+(y^{2}+2

已知曲线积分(int )_(t)^yf(x)dx+((x)^2+y)dy与路径无关，则(int )_(t)^yf(x)dx+((x)^2+y)dy_____.已

【题目】 (3x+6xy+3(y)^2)dx+(2(x)^2+3xy)dy=0, 解-|||-微分方程。

微分方程dfrac (dy)(dx)=dfrac (y)(x+{y)^3}的通解为（）dfrac (dy)(dx)=dfrac (y)(x+{y)^3}微分方程

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