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Math Help - Seperation of variables.

  1. #1
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    Seperation of variables.

    4)general sol: (dv/dt)=(4(v^2)+36)(t^2)
    Last edited by mr fantastic; October 17th 2011 at 01:55 PM. Reason: Deleted excess questions.
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  2. #2
    Super Member TheChaz's Avatar
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    Re: Please help-Integartion

    Quote Originally Posted by kmankish View Post
    1)solve: (2x+7t)(dx/dt)+7x-t=0, x(0)=5, x(t)=?
    2)general sol: (dx/dt)+5x=(x^2)(e^-2t)
    3)solve: (dy/dx)+(y/x)=(y^6)(x^5), y(1)=1, y(x)=?
    4)general sol: (dv/dt)=(4(v^2)+36)(t^2)
    No, that's not how this site works. You need to show effort, and post one question per thread.
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    Re: Please help-Integartion

    yh i no ive been working on these q's for ages now and i keep running into dead ends i was hoping someone would help me with the method for atleat 1 which ever they prefer so i can find out how to do it.
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  4. #4
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    Re: Please help-Integartion

    Quote Originally Posted by kmankish View Post
    yh i no ive been working on these q's for ages now and i keep running into dead ends i was hoping someone would help me with the method for atleat 1 which ever they prefer so i can find out how to do it.
    I understand, but try to see this from a different point of view:
    There are people on MHF who are trying to offer *help* (that's what the "H" stands for in MHF). If you want help, I don't think it's unreasonable that you be asked to show some work. Furthermore, this most recent post is very off-putting. It may be that English isn't your native language, but you might still try to clean it up a bit!

    Finally, here's a site that will help you format your questions in a pretty way. Online LaTeX Equation Editor - create, integrate and download

    ....................

    Now, #4 looks like it's "separable"

    We get \frac{dv}{(2v)^2 + 36} = t^2 \cdot dt

    Can you integrate both sides? A trig substitution might help on the left...
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  5. #5
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    Re: Please help-Integartion

    yes i understand, thanks for the suggestion am i right in thinking the rhs goes to

    if i have c on both sides can i take it as c overall?
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  6. #6
    Super Member TheChaz's Avatar
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    Re: Please help-Integartion

    Quote Originally Posted by kmankish View Post
    yes i understand, thanks for the suggestion am i right in thinking the rhs goes to

    if i have c on both sides can i take it as c overall?
    Looks good.
    Now say you have C_1 on the left and C_2 on the right. Then you can subtract C_1 from both sides and let "C" = C_2 - C_1
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