Recent content by ziggie125

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    How Do You Integrate (x^2)/(x-1)?

    Homework Statement integral of (x^2)/(x-1) The Attempt at a Solution Thats all i need to know how to do for this question.
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    Y(x) = x/(1+cx) ; dy/dx = y^2/x^2

    Alright. Thanks for the help, it is greatly appreciated.
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    Y(x) = x/(1+cx) ; dy/dx = y^2/x^2

    Click, so you mean, y^2/x^2 = 1/(1 cx)^2 y^2 = x^2/(1+cx)^2 sqrt(y^2) = sqrt(x^2/(1+cx)^2) = sqrt((x/(1+cx))^2)) y = x/(1+cx)
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    Y(x) = x/(1+cx) ; dy/dx = y^2/x^2

    I'm not sure what you mean. This is all the information i was given for the problem.
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    Y(x) = x/(1+cx) ; dy/dx = y^2/x^2

    thanks for the reply. y(x) = x/(1+cx) dy/dx = ((1+cx) - xc)/(1+cx)^2 = 1/(1+cx)^2 So how does that equal y^2/x^2
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    Y(x) = x/(1+cx) ; dy/dx = y^2/x^2

    Homework Statement Show that each function in the family satisfies the differential equation. y(x) = x/(1+cx) ; dy/dx = y^2/x^2The Attempt at a Solution I'm not sure where to start. I can't see how the integral of dy/dx = y(x)
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    Determining Convergence of Series with Logarithmic Terms

    Homework Statement Is the series convergent 1) \sum1/(n^2 * ln n) and 2) which value of p does the series converge. \sum 1/(n*(ln n)^p) The Attempt at a Solution 1) I cannot see how the root method (\sqrt[n]{Cn}) would work, or the ratio test would work (cn+1)/cn Unless...
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    For which values of a does this series converge?

    thx. The limit is still infinity though.
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    For which values of a does this series converge?

    [/PHP]Homework Statement For which values of a does this series converge? \sum (n!)^2/(an)! The Attempt at a Solution I know a cannot be a negative integer because you cannot have a negative factorial. If a is 0, then it's limit is infinity. ie. lim (n!)^2/ 0 = infinity If...
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    In terms of n 1, 1, -1, -1, 1, 1, -1, -1,

    Hey thanks a lot for the help. Either method works fine, as long as you can figure out f(n) for the first one.
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    In terms of n 1, 1, -1, -1, 1, 1, -1, -1,

    Homework Statement Put in general terms 1, 1, -1, -1, 1, 1, -1, -1, ... Homework Equations The Attempt at a Solution obviously (-1)^n, alternates 1, -1, 1, -1... I have no idea how to figure this out. I thought it might have a sin function in it possibly. Thanks a lot for...
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    In terms of n, 3, 7, 13, 27, 53, 107

    I was told you cannot use the terms before it in the equation, ie. cn-1*2 + (-1)^n
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    In terms of n, 3, 7, 13, 27, 53, 107

    Homework Statement Find the explicit formula c1=1, c2=2, cn+1 = (cn + cn-1)/2 ; n>2 Homework Equations The Attempt at a Solution c1 = 1 c2 = 2 c3 = 3/2 c4 = 7/4 c5 = 13/8 c6 = 27/16 c7 = 53/32 c8 = 107/64 I know the bottom term is 2^n-2. I cannot find what the top...