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Math Help - Is this differential equation separable?

  1. #1
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    Is this differential equation separable?

    Can we apply Separation of Variables to this differential equation?

    y' = 2x + y


    I tried to apply Separation of Variables:

    dy
    dx = 2x + y

    subtracted y on both sides:

    dy
    dx - y = 2x

    multiply both sides by dx:

    dy - y = 2x dx

    My question is does the dx get multiplied to the y as well, so that it would look like this:

    dy - ydx = dx dx
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  2. #2
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    Re: Is this differential equation separable?

    No, what you do is not correct.
    Apply the usual method to solve a linear ODE : y'-y = 2x
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