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First order nonlinear differential equation

  1. Mar 13, 2009 #1
    Hi, I've come across this equation in my research, and I am so far unable to solve it.

    The equation is:
    [tex]\frac{dV}{dt} + \frac{1}{RC}V - \frac{I}{C}e^{(-V/n)} = \frac{V_f}{RC} - \frac{I}{C}[/tex]

    both terms on the right-hand-side are constants; throughout the equation R, C, I, n, and Vf are constants. I want to solve for V. The equation is derived from a pretty simple resistor, capacitor, diode circuit, which I can describe if anyone thinks that will help.

    I can solve the equation without the [tex]\frac{I}{C}e^{(-V/n)}[/tex] but I just have no idea how to do it with the exponential term.

    Thanks for any help.
    Last edited: Mar 13, 2009
  2. jcsd
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