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Integration |
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| Feb15-05, 06:39 AM | #1 |
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Integration
How should I integrate this differential equation?
dQ/dt = 10 - 10Q/(500 - 5t) I hope someone can help me. |
| Feb15-05, 06:47 AM | #2 |
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Have you learnt about "integrating factors" yet?
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| Feb15-05, 07:46 AM | #3 |
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Isn't that equation linear in Q?
If you know your Ordinary Differential Equations of Order 1 then there should be no problem. ^^; |
| Feb15-05, 07:55 AM | #4 |
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Integration
Variables can be separated for the homogenous equation,indeed.And then Lagrange's method would work for the nohomogeneity function.
Daniel. |
| Feb15-05, 07:57 AM | #5 |
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![]() Integrating factor rules!
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| Feb15-05, 08:01 AM | #6 |
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True,when the function in Q (in this case) IS NOT LINEAR...
...integrating factor rules...Daniel. |
| Feb15-05, 07:41 PM | #7 |
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Can you explain to me why this equation is not linear in Q? I mean, the equation can be put into the form:
[tex] \frac{dQ}{dt} + \frac{10}{500 - 5t} \cdot Q = 10 [/tex] Which to me looks like it's linear in Q... |
| Feb15-05, 07:59 PM | #8 |
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It is,u missunderstood the "(...)" part.It was meant for Q...I would have said "y",but "in this case" it was Q involved...
Daniel. |
| Feb15-05, 08:07 PM | #9 |
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oh, i see... I am at fault for misunderstanding
Sorry ^^;
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