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Math Help - Which method for solving this form of differential equation?

  1. #1
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    Which method for solving this form of differential equation?

    How would I go about solving this form of differential equation?

    (dx/dt) = (12b)(18bt-x)

    So it becomes

    (dx/dt) = (125(b^2)t)-(12bx)

    Use the integrating factor method?

    (dx/dt) + (12bx) = (125(b^2)t)

    Or not - I am totally stumped with this...
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Which method for solving this form of differential equation?

    Your product of 12 and 18 is not 125 (it is 216), but otherwise, yes, this is a linear equation, and you want to calculate an integrating factor.
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