证明u(x,y)=(x-y)(x^2+4 xy+y^2)u(x,y)=(x-y)(x^2+4 xy+y^2)u(x,y)=(x-y)(x^2+4 xy+y^2)
2.已知 dfrac (x)(x+y)=dfrac (1)(3) ,求 dfrac ({x)^2-(y)^2}(2xy+{y)^2} 的值.
微分方程x^2y`+xy= y^2, y|x=1=1 的特解为A x^2y`+xy= y^2, y|x=1=1 B x^2y`+xy= y^2, y|x=1=1
[题目]求函数 (x,y)=1|2(x)^2-4xy+9(y)^2+3x-14y+-|||-1/2 的极值
[单选题]将2(x+y)-3(x-y)-4(x+y)+5(x-y)-3(x-y)合并同类项得()。A.-3x-yB.-2(x+y)C.-x+yD.-2(x+y)
[单选题]将2(x+y)-3(x-y)-4(x+y)+5(x-y)-3(x-y)合并同类项得()。A.-3x-yB.-2(x+y)C.-x+yD.-2(x+y)
7.设 (x,y)=dfrac (1)(xy),r=sqrt ({x)^2+(y)^2} _(1)= (x,y)|(x,y)in {R)^2 dfrac (1)
计算:(1)(5a+4c+7b)+(5c-3b-6a);(2)(8xy-x2+y2)-(x2-y2+8xy);(3)((1)/(3)(x^2)-1+3x)-4(
[单选题]已知函数的全微分df(x,y)=(3x2+4xy-y2+1)dx+(2x2-2xy+3y2-1)dy,则f(x,y)等于( ).A.B.C.D.
[单选题]已知函数的全微分df(x,y)=(3x2+4xy-y2+1)dx+(2x2-2xy+3y2-1)dy,则f(x,y)等于( ).A.B.C.D.