Differential equation - please help

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  1. ilovemath's Avatar
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    Differential equation - please help
    Look at the question attached.

    so I know how to solve differential equations but the answer scheme omits the constant when integrating dt
    (i.e: integral of 1*dt)

    why is this??
  2. Hazza616's Avatar
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    Re: Differential equation - please help
    I think you missed off the question :P
  3. Obadetona's Avatar
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    Re: Differential equation - please help
    There is no attached question, but check here http://www.examsolutions.co.uk/a-lev...xcel/index.php It has video solutions for every paper. (Edexcel)
  4. ilovemath's Avatar
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    Re: Differential equation - please help
    here
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  5. TenOfThem's Avatar
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    Re: Differential equation - please help
    (Original post by ilovemath)
    Look at the question attached.

    so I know how to solve differential equations but the answer scheme omits the constant when integrating dt
    (i.e: integral of 1*dt)

    why is this??
    You only get a constant on one side

    Well you get one on both sides but they always combine so you just put it on one side


    Either side is fine
  6. JO53PHS's Avatar
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    Re: Differential equation - please help
    You only need to add + c once, and it doesn't matter which side of the equation it is on. The + c terms are both constant terms, so they end up being collected into a single term anyway.
  7. ilovemath's Avatar
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    Re: Differential equation - please help
    (Original post by TenOfThem)
    You only get a constant on one side

    Well you get one on both sides but they always combine so you just put it on one side


    Either side is fine
    no they LEFT IT OUT...it was NO WHERE....

    look at question (now attached)
  8. Intriguing Alias's Avatar
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    Re: Differential equation - please help
    (Original post by ilovemath)
    no they LEFT IT OUT...it was NO WHERE....

    look at question (now attached)
    You have limits so there's no need for a +c
  9. TenOfThem's Avatar
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    Re: Differential equation - please help
    (Original post by ilovemath)
    no they LEFT IT OUT...it was NO WHERE....

    look at question (now attached)
    no they didn't

    it would appear once you finish integrating


    It is like, for example

    \dfrac{dy}{dx} = f(x)

    giving

    y = \int f(x) dx

    Do you see a need for this to be y+c = ????
  10. TenOfThem's Avatar
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    Re: Differential equation - please help
    (Original post by hassi94)
    You have limits so there's no need for a +c
    still exists though
  11. Intriguing Alias's Avatar
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    • Location: Yorkshire
    Re: Differential equation - please help
    (Original post by TenOfThem)
    still exists though
    Yes but that's why they won't write it in the mark scheme.
  12. ilovemath's Avatar
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    Re: Differential equation - please help
    (Original post by TenOfThem)
    no they didn't

    it would appear once you finish integrating


    It is like, for example

    \dfrac{dy}{dx} = f(x)

    giving

    y = \int f(x) dx

    Do you see a need for this to be y+c = ????
    yes...always put in +c....I am confused
  13. TenOfThem's Avatar
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    Re: Differential equation - please help
    (Original post by hassi94)
    Yes but that's why they won't write it in the mark scheme.
    no

    they haven't written it because you do not include it until you have integrated the second side
  14. Intriguing Alias's Avatar
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    Re: Differential equation - please help
    (Original post by TenOfThem)
    no

    they haven't written it because you do not include it until you have integrated the second side
    Oh sorry I assumed the OP was asking about the next part of the question, and furthermore assuming there was a next part of the question. If she meant why isn't it int(blah) + c then sorry you're right but I didn't know she meant that (if she does).
  15. TenOfThem's Avatar
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    Re: Differential equation - please help
    (Original post by ilovemath)
    yes...always put in +c....I am confused
    Really?????


    So from \dfrac{dy}{dx} = 4x + 5

    You would write

    y + c = \int (4x + 5) dx

    and then you would do

    y + c = 2x^2 + 5x + k

    why???????
  16. ilovemath's Avatar
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    Re: Differential equation - please help
    (Original post by TenOfThem)
    Really?????


    So from \dfrac{dy}{dx} = 4x + 5

    You would write

    y + c = \int (4x + 5) dx

    and then you would do

    y + c = 2x^2 + 5x + k

    why???????
    no...

    dh/(0.4-0.02*sqrt(h)) = dt
    therefore
    integral dh/(0.4 - 0.02*sqrt(h)) = integral dt

    on the LHS the plus c vanishes but on the other side why would it?
  17. Intriguing Alias's Avatar
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    Re: Differential equation - please help
    (Original post by ilovemath)
    no...

    dh/(0.4-0.02*sqrt(h)) = dt
    therefore
    integral dh/(0.4 - 0.02*sqrt(h)) = integral dt

    on the LHS the plus c vanishes but on the other side why would it?
    So you're not talking about putting +c whilst there is still an integral there? Can you link us to the mark scheme so we know what you're asking rather than just guessing?
  18. ilovemath's Avatar
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    Re: Differential equation - please help
    (Original post by hassi94)
    So you're not talking about putting +c whilst there is still an integral there? Can you link us to the mark scheme so we know what you're asking rather than just guessing?
    here
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  19. Intriguing Alias's Avatar
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    • Location: Yorkshire
    Re: Differential equation - please help
    (Original post by ilovemath)
    here
    So where's the actual problem? Where do you think there should be a +c?
  20. TenOfThem's Avatar
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    Re: Differential equation - please help
    (Original post by hassi94)
    So where's the actual problem? Where do you think there should be a +c?
    ditto
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