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Help finding general solution for 2nd order linear DE

  1. Sep 5, 2016 #1
    • Member warned that a homework post must include an effort
    1. The problem statement, all variables and given/known data
    Find the general solution for the DE: t2y''-2y=0

    2. Relevant equations
    These were given for other parts of the problem so I'm not sure if they're relevant.
    y1(t)=t2, y2(t)=t-1, y(1)=-2, y'(1)=-7

    3. The attempt at a solution
    The t2 at the front was really stumping me and I'm not sure where to begin.

    Thanks in advance for any help.
     
  2. jcsd
  3. Sep 5, 2016 #2

    LCKurtz

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    The earlier parts are relevant. What are ##y_1(t)## and ##y_2(t)##? That is, what do they have to do with this problem? Once you answer that, what do you know about solutions of linear equations?
     
  4. Sep 5, 2016 #3
    So it should come out to be: y(x)=C1t2+C2t-1
     
  5. Sep 5, 2016 #4

    LCKurtz

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    So what should come out that? And does it?
     
  6. Sep 5, 2016 #5

    Mark44

    Staff: Mentor

    The independent variable is t, not x, so the above should be y(t)=C1t2+C2t-1
     
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