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How to covert this differential equation into a system of one order ODE?

  1. Nov 6, 2012 #1
    How to covert this differential equation into a system of one order ODE?
    x^2*y''-2*x*y'+2*y = 0;
    y(1) = 4; y'(1)=0;
    solve for y(x)

    I tried to convert it
    get

    X' = AX
    in which
    X = [y, z]'
    A = [0, 1; 2/x^2, 2/x];

    But x exists in A, which cannot solve by dsolve in Matlab.
     
  2. jcsd
  3. Nov 7, 2012 #2

    Simon Bridge

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