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Thread: Separable DEs

  1. #1

    Separable DEs

    Are the following DEs separable?

    (y/t)(dy/dt) = t^2*(ln(y^(3t)) + t^3

    My answer was no.

    (dy/dx) = x/y + sin(x)

    Again, my answer was no.

    Can you tell me if I am correct?

  2. #2
    Elite Member
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    Jun 2007
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    Quote Originally Posted by alabama14 View Post
    Are the following DEs separable?

    (y/t)(dy/dt) = t^2*(ln(y^(3t)) + t^3 ..... Separable

    y/[3ln(y)+1] dy = t4 dt

    My answer was no.

    (dy/dx) = x/y + sin(x)

    Again, my answer was no. ... Correct

    Can you tell me if I am correct?
    .
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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