# First order nonlinear differential equation

1. Mar 13, 2009

### heatherw

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

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

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 $$\frac{I}{C}e^{(-V/n)}$$ but I just have no idea how to do it with the exponential term.

Thanks for any help.

Last edited: Mar 13, 2009