求∮[(X+Y)dX/(X^2+Y^2)-(X-Y)dy/(X^2+Y^2)]（其中L为圆周x^2+y^2=a^2）,逆时针方向

x^y-y^x=2,求dy/dx 求dy/dx=(x-y+5)/(x+y-2) x^2+y^2=e^y求dy/dx 求dy/dx=x/y+(cosx/y)^2通解 已知x=y^2-4y,求dy/dx z=x^2-y/x+y,而y=2x-3,求dz/dx. y=2x^2+x求dy/dx 求二重不定积分 x/(x^2+y^2) dx dy x=sin(y/x)+e^2 求dy/dx y=e^x/x^2+sin2x 求dy/dx du(x,y)=2xycos(x^2y)dx+x^2cos(x^y)dy,求u(x,y) 求方程 dy/dx+x(y-x) +x^3(y-x)^2=1的通解~ d/dx((x^2+y^2)^2)=d/dx(x^2-y^2),求（化简）dy/dx=? 已知x^y-y^x=2确定函数y=fx,求dy/dx 求方程（y^2-1）dx+y(x-1)dx=0的通解 L:x^2+y^2-2x-1=0正向,求∮[e^(x^2+y^2)dx+(2x^2+x)dy]/(x^2+y^2) dy/dx=y/x±[√(x^2+y^2 )]/x 求通解 求下列式子dy/dx (1) x^2y-x+y=0；(2) x√y =y-11