Solving equations

  1. Algebraic equation:
    • x**2-1=0 >>>[1,1]

    • x**2-y**2=0 >>>[y,y]

    • solve(2y−x-1,4y−x-3) >>>{x:1,y:1}

  2. Ordinary differential equation:ode
    • f''+9f=0 >>>f(x)=C1*sin(3*x)+C2*cos(3*x)

    • diff(f,x,2)+9f=0 >>>f(x)=C1*sin(3*x)+C2*cos(3*x)

  3. Partial differential equation:pde
    • 1+2f'(x)/f+3f'(y)/f=0 >>>f(x,y)= F(3*x-2*y)*e-2*x13-3*y13

    • 1+2*diff(f,x,1)/f+3*diff(f,y,1)/f=0 >>>f(x,y)= F(3*x-2*y)*e-2*x13-3*y13