Recent content by flaconlx

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    Separable ODE Solution: Solving for y in dy/dt = (ab - c(y^2)) / a

    That actually helps me quite a bit. Thank you!
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    Separable ODE Solution: Solving for y in dy/dt = (ab - c(y^2)) / a

    how do I represent the equation in terms of y? btw, thanks for the help so far
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    Separable ODE Solution: Solving for y in dy/dt = (ab - c(y^2)) / a

    ArcTanh[(Sqrt[c]*x)/(Sqrt[a]*Sqrt[b])]/ (Sqrt[a]*Sqrt[b]*Sqrt[c]) is the solution to the integral, but it seems too complex for this problem. I guess a better question would be: is there another way to tackle the ODE so that I will arrive at an easier solution? i.e. I need a formula in terms...
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    Separable ODE Solution: Solving for y in dy/dt = (ab - c(y^2)) / a

    Sorry, I must be missing something.. the integration that I was attempting to do was: \int \frac{dy}{ab - c(y^2)} Will trig substitution also work with this?
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    Separable ODE Solution: Solving for y in dy/dt = (ab - c(y^2)) / a

    Hi, I'm having trouble with this ODE problem: The prompt asks to find the solution of the ODE using separation of variables. dy/dt = (ab - c(y^2)) / a, where a, b and c are constants. I proceed to divide both sides by (ab - c(y^2)) and multiply both sides by dt, but I'm having...
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