x^2ye^xy

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x^2ye^xy
2(x平方-xy)-3(2x平方-3xy)

解2(x²-xy)-3(2x²-3xy)=(2x²-6x²)+(-2xy+9xy)=-4x²+7xy再问:����|-15|-8�£�-2��+4*�

1.x-z/xy - 2ab/xy

1=(x-z-2ab)/xy2=(a²-2ab+b²)/a-b=(a-b)²/a-b=a-

(xy-x^2)乘以(xy)/(x-y)

对.前提是x不等于y

(x+y-2xy)(x+y-2)+(1-xy)²

(x+y-2xy)(x+y-2)+(1-xy)^2=(x+y)^2-2(1+xy)(x+y)+4xy+1-2xy+x^2y^2=(x+y)^2-2(1+xy)(x+y)+(1+xy)^2=(x+y)^

计算3xy[2xy-x(y-2)+x-1]

3xy[2xy-x(y-2)+x-1]=3xy(2xy-xy+2x+x-1)=3xy(xy+3x-1)=3x^2y^2+9x^2y-3xy

求二重积分∫∫D x^2*ye^xy dxdy D:0≤x≤1,0≤y≤2

先对y积分,后对x积分.=积分(从0到1)dx积分(从0到2)x^2ye^(xy)dy,对y的积分做变量替换xy=t,=积分(从0到1)dx积分(从0到2x)te^tdt=积分(从0到1)dx(te^

微分方程(1+e^2x)dy+ye^2x dx=0的通解

再问:。再答:怎么了?

(x^2+xy/x-y)/(xy/x-y)计算

【x²+xy/(x-y)】/【xy/(x-y)】=【x²(x-y)/(x-y)+xy/(x-y)】/【xy/(x-y)】={【x²(x-y)+xy】/(x-y)}/【xy

设y=f(x)由方程xe^y+ye^x=4xy确定,则dy/dx= 本人有e的导数不太会算

(e^y+xe^y*y')+(y'e^x+ye^x)=4y+4xy'(xe^y+e^x-4x)y'=4y-e^y-ye^xy'=(4y-e^y-ye^x)/(xe^y+e^x-4x)

xIny+ye^(xy)=0 求y的导数

再问:采用复合函数求导法,怎么求再答:

-3(2x^2-xy)+4(x^2+xy-6)

-3(2x^2-xy)+4(x^2+xy-6)=-6x^2+3xy+4x^2+4xy-24=-2x^2+7xy-24再问:thankyou~

化简:xy分之3x^2+2xy-xy分之2x^2-xy=

(3x^2+2xy)/xy-(2x^2-xy)/xy=(3x^2+2xy-2x^2+xy)/xy=(x^2+3xy)/xy=x(x+3y)/xy=(x+3y)/y

因式分解:-xy^2+2xy-x

-xy^2+2xy-x=-x(y^2-2y+1)=-x(y-1)^2如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”

∫∫ye^(xy)dxdy,其中D是由曲线xy=1与x=1,x=2,及y=2的所围成的平面区域

∫∫Dye^(xy)dσ=∫(1→2)dx∫(1/x→2)ye^(xy)dy=∫(1→2)(2x-1)/x²•e^(2x)dx=[(1/x)•e^(2x)]|(1→2

x-y/x²÷x²-2xy+y²/xy*(xy-x²)

(x-y)/x²÷(x²-2xy+y²)/xy×(xy-x²)=(x-y)/x²÷(x+y)²/xy×x(y-x)=(x-y)²/

∫∫ye^(xy)dxdy,其中D是由曲线xy=1与x=1,x=2,及y=2所围

原式=∫[1,2]dx∫[1/x,2]ye^(xy)dy=∫[1,2]dx∫[1/x,2]y/xe^(xy)d(xy)第一个对y的积分中x是常数=∫[1,2]1/xdx∫[1/x,2]yde^(xy)