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Is my answer correct? Please check

  1. Jan 20, 2015 #1
    1. The problem statement, all variables and given/known data
    Solve Q'+(1/(50+t))Q=1.

    2. Relevant equations
    None.

    3. The attempt at a solution
    This is my work:
    I know that the integrating factor is (1/(50+t)).
    e^integral of (1/(50+t))dt=e^ln abs(50+t)=50+t
    (50+t)Q'+Q=50+t
    Q(50+t)=50t+t^2+C
    Q=(50t+t^2+C)/(50+t)
    I got Q=(50t+t^2+C)/(50+t) as the answer. Am I right?
     
  2. jcsd
  3. Jan 20, 2015 #2

    SteamKing

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    You can check this yourself by substituting for Q and Q' in the original ODE.
     
  4. Jan 20, 2015 #3

    Ray Vickson

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    I concur with SteamKing's answer. You can easily check it yourself, and it would be good to develop the habit of checking on your own.
     
  5. Jan 20, 2015 #4

    LCKurtz

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  6. Jan 20, 2015 #5

    Mark44

    Staff: Mentor

    Yes.

    Math10, do not abandon a thread, and then start a new one on the same problem.

    Also, as SteamKing and Ray Vickson have pointed out, you can and should, check answers to problems like this on your own.
     
  7. Jan 24, 2015 #6
    Okay. I won't abandon a thread again.
     
  8. Jan 24, 2015 #7
    And I have already solved the problem.
     
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