2.已知解析函数f(z )的实部u(x,y )或虚部v(x,y ),求该解析函数.-|||-(1) =(e)^xsin y,-|||-(2) =(e)^x(xcos y-ysin y) (0)=0,-|||-(3) =dfrac (2sin 2x)({e)^2y+(e)^-2y-2cos 2x} ,f(π/2)=0,-|||-(4) =dfrac (y)({x)^2+(y)^2} (2)=0,-|||-(5) =dfrac ({x)^2-(y)^2}({({x)^2+(y)^2)}^2} (omega )=0,-|||-(6) =(x)^2-(y)^2+xy (0)=0,-|||-(7) =(x)^3-3x(y)^2 (0)=0,-|||-(8) =(x)^3+6(x)^2y-3x(y)^2-2(y)^3 (0)=0-|||-(9) =(x)^4-6(x)^2(y)^2+(y)^4 (0)=0,-|||-(10) =ln rho , (1)=0,-|||-(11) =varphi , (1)=0.

2.已知解析函数f(z)的实部u(x,y)或虚部v(x,y),求该解析函数.-|||-(1) =(e)^xsin y2.已知解析函数f(z)的实部u(x,y)或

16.分别由下列条件求解析函数 f(z)=u+iv 。-|||-(1) =(x)^2+xy-(y)^2 ,-|||-f(i)=-1+i ;-|||-(2) =(

已知调和函数 (x:y)=2(x)^2-2(y)^2+x ,求函数v(x,y),-|||-使函数 (z)=u(x,y)+i(x,y) 解析且满足 f(-1)=1

30.由下列各已知调和函数求解析函数f(z)=u+iv.1)u=(x-y)(x²+4xy+y²);2v=(y)/(x^2)+y^(2),f(2)=0;30.由下

若u(x,y),v(x,y)都是调和函数,则f(z)=u(x,y)+iv(x,y)是解析函数.A. 正确B. 错误

若f(z)=u(x,y)+iv(x,y)是解析函数,则u(x,y)v(x,y)都是调和函数.A. 对B. 错

已知函数z=f(e^y ,x^2y)，其中z=f(e^y ,x^2y)具有二阶连续偏导数，求z=f(e^y ,x^2y)。已知函数，其中具有二阶连续偏导数，求。

【单选题】若 f (z)= u (x,y)+i v (x,y)在Z平面上解析, u (x,y)=x 2 -y 2 +x,则 v (x,y)=A. xy+xB.

已知u(x,y)=2x(1-y),则满足u(x,y)=2x(1-y)的解析函数u(x,y)=2x(1-y)为u(x,y)=2x(1-y)u(x,y)=2x(1-

函数 f(z)=u+iv 是一个解析函数，且 u+v=x^3-y^3+3x^2y-3xy^2-2x-2y，求 f(z)=u+iv.21. 函数 $f(z)=u+