《多元函数求解》word版.docx

MATLAB的计算结果 syms x y;x,y=solve(sym(x2+y2=0),sym(75*x3/100-y+9/10=0);x=vpa(x,4)y=vpa(y,4)eval(x.2+y.2),eval(75*x.3/100-y+9/10) x = 0.1934 - 0.6951*i 0.4388*i - 1.073 1.134*i + 0.8793 - 0.4388*i - 1.073 0.6951*i + 0.1934 0.8793 - 1.134*iy = 0.1934*i + 0.6951 1.073*i + 0.4388 0.8793*i - 1.134 0.4388 - 1.073*i 0.6951 - 0.1934*i - 0.8793*i - 1.134ans = 1.8367099231598242312011508394098*10(-40)*i - 1.8367099231598242312011508394098*10(-40), 1.7189575831866919927054801534962*10(-40)*i + 1.8367099231598242312011508394098*10(-40) 2.3877229001077715005614960912327*10(-39)*i - 7.346839692639296924804603357639*10(-40), - 3.3656917645517268156994122716272*10(-39)*i - 1.8367099231598242312011508394098*10(-40) 3.6734198463196484624023016788195*10(-39)*i + 1.1020259538958945387206905036459*10(-39), 5.27862010829676029479556374219*10(-39)*i - 3.8570908386356308855224167627605*10(-39) - 2.3877229001077715005614960912327*10(-39)*i - 7.346839692639296924804603357639*10(-40), 3.3656917645517268156994122716272*10(-39)*i - 1.8367099231598242312011508394098*10(-40) - 1.8367099231598242312011508394098*10(-40)*i - 1.8367099231598242312011508394098*10(-40), 1.8367099231598242312011508394098*10(-40) - 1.7189575831866919927054801534962*10(-40)*i 1.1020259538958945387206905036459*10(-39) - 3.6734198463196484624023016788195*10(-39)*i, - 5.27862010829676029479556374219*10(-39)*i - 3.8570908386356308855224167627605*10(-39) syms a b x y;q=solve(x2+a*x2+6*b+3*y2=0,y=a+(x+3),x,y)q.xq.y q = x: 2x1 sym y: 2x1 symans = (4*a + 3(1/2)*(- 15*a - 8*b - 2*a*b - 7*a2 - a3 - 9)(1/2) + a2 + 3)/(a + 4) - a - 3 (4*a - 3(1/2)*(- 15*a - 8*b - 2*a*b - 7*a2 - a3 - 9)(1/2) + a2 + 3)/(a + 4) - a - 3ans = (4*a + 3(1/2)*(- 15*a - 8*b - 2*a*b - 7*a2 - a3 - 9)(1/2) + a2 + 3)/(a + 4) (4*a - 3(1/2)*(- 15*a - 8*b - 2*a*b - 7*a2 - a3 - 9)(1/2) + a2 + 3)/(a + 4) MuPAD的计算结果更好solve(x2+a*x2+6*b+3*y2=0,y=a+x+3,x,y)mathematics的计算结果1(弧度/实数)输入solvex2+a x2+6 b+3 y2=0, y=a+x+3解 1 x&=2 a2-12 a3-84 a2-24 a b-180 a-96 b-108+8 a+62 a+8-a-3 y&=2 a2-12 a3-84 a2-24 a b-180 a-96 b-108+8 a+62 a+8, -108-12 a3-24 a b-84 a2-96 b-180 a0 and a-4解 2 x&=2 a2+-12 a3-84 a2-24 a b-180 a-96 b-108+8 a+62 a+8-a-3 y&=2 a2+-12 a3-84 a2-24 a b-180 a-96 b-108+8 a+62 a+8, -108-12 a3-24 a b-84 a2-96 b-180 a0 and a-