z=ycos(x-2Y)

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z=ycos(x-2Y)
x,y,z为实数 且(y-z)^2+(x-y)^2+(z-x)^2=(y+z-2x)^2+(x+z-2y)^2+(x+y

(y-z)^2+(z-x)^2+(x-y)^2=(x+y-2z)^2+(y+z-2x)^2+(z+x-2y)^2[(y-z)^2-(y+z-2x)^2]+[(z-x)^2-(x+z-2y)^2]+[(

已知 x,y,z都是正实数,且 x+y+z=xyz 证明 (y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1

1/x=p1/y=q1/z=rpq+qr+pr=1(y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1/y+1/z)^2为(pq+qr+pr)[r/p+r/q+q/r+q/p+p/r+p/q

(x+y-z)(x-y+z)=

[x+(z-y)][x-(z-y)]=x-(z-y)记得采纳啊

∫ cos(x+y^2)+2y)dx+(2ycos(x+y^2)+3x)dy ,其中L为曲线y=sinx上从x=0到x=

P=cos(x+y^2)+2yQ=2ycos(x+y^2)+3xP'y=-2ysin(x+y^2)+2Q'x=-2ysin(x+y^2)+3添加线段L1:(π,0)到(0,0)注意由L和L1构成的封闭

求解微分方程:[x-ycos(y/x)]dx+xcos(y/x)dy=0.

1-y/x*cos(y/x)+cos(y/x)dy/dx=0令y/x=u,则dy/dx=u+xdu/dx所以1-ucosu+cosu*(u+xdu/dx)=0cosu*xdu/dx=-1cosudu=

已知x、y、z满足方程组:x+y-z=6;y+z-x=2;z+x-y=0 求x、y、z的值

x+y-z=6y+z-x=2z+x-y=0三式相加得x+y+z=8-得2z=2z=1-得2x=6x=3-得2y=8y=4x=3y=4z=1

试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

(2xsin(y/x)-ycos(y/x))dx+(xcos(y/x)+1)dy=0 求y

xsin(y/x)-ycos(y/x)]dx+xcos(y/x)dy=0②解初值xy'-y=xtany/x,y(1)=π/21.令y/x=t,则方程化为(xsint-xtcost)dx+xtc

如果|x+y+z-6|+|2x+3y-z-12|+|2x-y-z|=0求x,y,

x+y+z-6=02x+3y-z-12=02x-y-z=0组成方程组再解x=2y=3z=1

ycos(y/x)=((x^2/y)*sin(y/x)+xcos(y/x))dy/dx 请问这道题该用什么方法解 如果代

求微分方程ycos(y/x)=[(x²/y)sin(y/x)+xcos(y/x)]dy/dx的通解令u=y/x,则y=ux,dy/dx=u+xdu/dx,代入原方程得:uxcosu=[(x/

求证 cos*xcos*y + sin*xsin*y + sin*xcos*y + xin*ycos*x = 1

合并同类项么,很简单的只要你愿意去做左边=cos*x(cos*y+sin*y)+sin*x(cos*y+sin*y)=cos*x+sin*x=1=右边

x,y,z为实数且(y-z)平方+(x-y)平方+(z-x)平方=(y+z-2x)平方+(z+x-2y)平方+(x+y-

设a=x-y,b=y-z,-a-b=z-x(y-z)平方+(x-y)平方+(z-x)平方=(y+z-2x)平方+(z+x-2y)平方+(x+y-2z)平方b^2+a^2+(-a-b)^2=(-a-b-

已知(x+y+z)^2=x^2+y^2+z^2,证明x(y+z)+y(z+x)+z(x+y)=0

将(x+y+z)²展开有(x+y+z)²=x²+y²+z²+2xy+2xz+2yz=x²+y²+z²所以2xy+2xz+

分解因式:f(x,y,z)=x^2(y-z)+y^2(z-x)+z^2(x-y)

=x²(y-z)+y²(z-x)+z²(x-z+z-y)=(y-z)(x²-z²)+(z-x)(y²-z²)=(y-z)(x-z)

x=y/z=z/3,x+y+z =12,求2x+3y+4z是多少,

3元一次方程,好像是初一的问题哦.根据前面两个等式可以得出x=3zy=z(平方)/32x+3y+4z=2*(3z)+3*(z方/3)+4z现在变成了一元二次方程,你应该会解吧.

x/2=y/3=z/5 x+3y-z/x-3y+z

设x/2=y/3=z/5=ax=2ay=3az=5a是不是求的是:(x+3y-z)/(x-3y+z)?若是,如下:(x+3y-z)/(x-3y+z)=(2a+9a-5a)/(2a-9a+5a)=-3

(x+y-z)^2-(x-y+z)^2=?

根据公式(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac公式展开:得到(x^2+y^2+z^2=2xy-2yz-2xz)-(x^2+y^2+z^2-2xy-2yz+2xz)合并同类项