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anonymous

  • one year ago

how to integrate {1/(kx^2-gm)} where g and m and k are constants

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  1. just_one_last_goodbye
    • one year ago
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    This math is so above me knowledge I thought It was spam X'D

  2. freckles
    • one year ago
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    do you know if the constants are positive or not?

  3. anonymous
    • one year ago
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    they are positive

  4. freckles
    • one year ago
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    awesome use partial fractions

  5. freckles
    • one year ago
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    \[\frac{A}{\sqrt{k}x-\sqrt{gm}}+\frac{B}{\sqrt{k}x+\sqrt{gm}}=\frac{1}{kx^2-gm}\]

  6. anonymous
    • one year ago
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    i think i can take it from here, thank you for the great hint !

  7. freckles
    • one year ago
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    tell me what you find for A and B.

  8. freckles
    • one year ago
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    you will get something in terms of g and m

  9. Kainui
    • one year ago
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    Just curious, where did this problem come from? It looks like it might have to do with solving a differential equation involving a spring and gravity or something interesting.

  10. anonymous
    • one year ago
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    True, i am modelling throwing a basketball, and trying to solve for the speed, this came up when i am analyzing the vertical motion of the ball

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