x→0,y→0［2-√（xy+4）］/xy的极限.x→2,y→0sin（xy）/y的极限

\( {y'^2} + xy' - y = 0 \)是二阶微分方程。

1.dy/dx=(xy^2-cosxsinx)/(y(1-x^2)),y(0)=2求y

下列方程中( )是微分方程。 A: \( x{y^3} + 2{y^2} + {x^2}y = 0 \) B: \( {y^2} + xy - y = 0 \) C: \( x + {y^2} = 0 \) D: \( dy + ydx = 0 \)

分解因式()x()3()y()-()2()x()2()y()2()+()xy()3()正确的是A.()xy()(()x()+()y())()2()B.()xy()(()x()2()﹣()2()xy()+()y()2())()C.()xy()(()x()2()+2()xy()﹣()y()2())()D.()xy()(()x()﹣()y())()2

（多选）以下平面弹性体的位移或形变状态不可能存在的是 A: 位移分量$u = {k_1}\left( {{x^2} + {y^2}} \right),v = {k_2}xy$（${k_1},{k_2}$为常数） B: ${\varepsilon _x} = k\left( {{x^2} + {y^2}} \right),{\varepsilon _y} = k{y^2},{\gamma _{xy}} = 2kxy$（${k \ne 0}$） C: ${\varepsilon _x} = 0,{\varepsilon _y} = 0,{\gamma _{xy}} = kxy$（${k \ne 0}$） D: ${\varepsilon _x} = ax{y^2},{\varepsilon _y} = b{x^2}y,{\gamma _{xy}} = cxy$（$a \ne 0,b \ne 0,c \ne 0$）

方程\( {y'^2} + xy' - y = 0 \)是 阶微分方程(写数字)。______

下列方程中( )是一阶线性微分方程。 A: \( 2{x^2}yy' = {y^2} + 1 \) B: \( xy' + {y \over x} - x = 0 \) C: \( \cos y + x\sin y { { dy} \over {dx}} = 0 \) D: \( y'' + xy' = 4{x^2} + 1 \)

已知｜x｜=3，｜y｜=2，xy＜0，则x+y=________．

设E(X) =E(Y)= 1/3 , E(XY)= 0, D(X) =D(Y)=2/9 , , 则ρXY =____