• 2022-06-06
    已知,y1=x,y2=x2,y3=ex为方程y"+p(x)y"+q(x)y=f(x)的三个特解,则该方程的通解为( )
    A: y=C1x+C2x2+ex
    B: y=C1x2+C2ex+x
    C: y=C1(x—x2)+C2(x—ex)+x
    D: y=C1(x—x2)+C2(x2—ex)
  • C

    内容

    • 0

      已知齐次方程$(x-1){{y}^{''}}-x{{y}^{'}}+y=0$的通解为$Y={{C}_{1}}x+{{C}_{2}}{{e}^{x}}$,则方程$(x-1){{y}^{''}}-x{{y}^{'}}+y={{(x-1)}^{2}}$的通解是( ) A: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-({{x}^{2}}+1)$ B: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-({{x}^{3}}+1)$ C: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-{{x}^{2}}$ D: ${{\text{C}}_{1}}x+{{\text{C}}_{2}}{{e}^{x}}-{{x}^{2}}+1$

    • 1

      设函数y=x,则y′=() A: 1 B: x C: x2/2 D: x2

    • 2

      已知int x=1,y=2,z=3;执行if(x>y) z=x;x=y;y=z;后x,y,z的值为( ) A: x=1,y=2,z=3 B: x=2,y=3,z=3 C: x=2,y=3,z=1 D: x=2,y=3,z=2

    • 3

      求方程$y\frac{{{d}^{2}}y}{d{{x}^{2}}}-(\frac{dy}{dx})^{2}=0$的通解: A: $y={{C}_{1}}{{e}^{-{{C}_{2}}x}}$ B: $y={{C}_{1}}{{e}^{-{{C}_{2}}{{x}^{2}}}}$ C: $y={{C}_{1}}x{{e}^{-{{C}_{2}}{{x}^{2}}}}$ D: $y={{C}_{1}}{{e}^{{{C}_{2}}x}}$

    • 4

      已知int x=3,y=4;,写出下列表达式的值 (1) (x,y) (2) x>y?x:y (3) x?y:x (4) (x>y)?(y>=2)?1:2:(y>x)?x:y