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Math Help - Symbolic Differential equation

  1. #1
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    Symbolic Differential equation

    I am trying to solve the differential equation (isolating v)

    1/(q-R(v^2)) = dt

    so i used partial fractions and after all of it ended with the result

    SQRT{ ([-e^(2sqrt(q)(t+c))+g]/R }

    i think i am wrong though
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by stones44 View Post
    I am trying to solve the differential equation (isolating v)

    1/(q-R(v^2)) = dt

    so i used partial fractions and after all of it ended with the result

    SQRT{ ([-e^(2sqrt(q)(t+c))+g]/R }

    i think i am wrong though
    Post the original equation please.

    CB
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  3. #3
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    Quote Originally Posted by stones44 View Post
    I am trying to solve the differential equation (isolating v)

    1/(q-R(v^2)) = dt

    so i used partial fractions and after all of it ended with the result

    SQRT{ ([-e^(2sqrt(q)(t+c))+g]/R }

    i think i am wrong though
    Captain Black's point is that your equation is missing a "dv".

    If it was simply \frac{dv}{q- Rv^2}= dt, then write it as \frac{1}{q}\frac{dv}{1- (R/q)v^2}= dt and use the substitution \sqrt{R/q} v= sin(x) on the left side.
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