Recent content by honeypuffy

  1. H

    Finding general solution of an ode using substitution

    sorry U should be Acos3x+Bcos3x
  2. H

    Finding general solution of an ode using substitution

    OK so I would have U''+9U=0 with general solution of U=Ae^3x+Be^-3x and U=y/x so y=(Ae^3x+be^-3x)/x
  3. H

    Finding general solution of an ode using substitution

    yes sorry I forgot that bit I had worked out that a should be -1 and there's a typo it should be a(a+1) which would simplify it down to x^1 U'' + x^1U=0 then I had the thought to divide by x to get U''+U=0 but I got stuck here because I wasn't sure on what to do. Should I change back to y?
  4. H

    Finding general solution of an ode using substitution

    Homework Statement By making the transformation u= x^αy where α is a constant to be found, find the general solution of[/B] y'' + (2/x)y' + 9y=0The Attempt at a Solution I've worked out y,y',y'' and subbed them into get x^-au'' + x^a-1(2-2a)u' + x^-a-2(x^2-a(a-1))u =0...