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Math Help - trying to make a separable equation

  1. #1
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    trying to make a separable equation

    How do you make separable equations for the following equations:

    dy/dx = (b/y)*sqrt(1-(x^2/a^2)) - k*y

    dy/dx = (m*x+b)/y - k*y

    dy/dt = b*sqrt(1-(t^2/a^2)) - k*y^2

    dy/dt = m*t + b - k*y^2

    the variables y, x, and t are the variables that are not constants, dy/dx or dy/dt denotes derivatives, and sqrt() means that it is the square root of what is in the parentheses.

    Any help will be appreciated very much
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  2. #2
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    Quote Originally Posted by likemath View Post
    How do you make separable equations for the following equations:

    dy/dx = (b/y)*sqrt(1-(x^2/a^2)) - k*y

    dy/dx = (m*x+b)/y - k*y

    dy/dt = b*sqrt(1-(t^2/a^2)) - k*y^2

    dy/dt = m*t + b - k*y^2

    the variables y, x, and t are the variables that are not constants, dy/dx or dy/dt denotes derivatives, and sqrt() means that it is the square root of what is in the parentheses.

    Any help will be appreciated very much
    None are seperable. A couple are Riccati type. And a couple are Bernoulli. What types of DE have you studied?
    Last edited by mr fantastic; March 9th 2008 at 11:50 PM. Reason: Added Bernoulli
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  3. #3
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    Could you show me how to solve them? I have had differential equations but I can't see how bernoulli could be used for any of them since the variable such as t or x is not contained within the term k*y or k*y^2. But I have never studied Riccati.
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