Is my answer correct? Please check

  • Thread starter Math10
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  • #1
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Homework Statement


Solve Q'+(1/(50+t))Q=1.

Homework Equations


None.

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?
 

Answers and Replies

  • #2
SteamKing
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You can check this yourself by substituting for Q and Q' in the original ODE.
 
  • #3
Ray Vickson
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Homework Statement


Solve Q'+(1/(50+t))Q=1.

Homework Equations


None.

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?
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
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I think most of us at PF frown on abandoning a thread and then starting a new one like it was a different subject.
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.
 
  • #6
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Okay. I won't abandon a thread again.
 
  • #7
301
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And I have already solved the problem.
 

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