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Nonlinear Differential Equation solver

Hello..

I am trying to slove first order DE of the form.. dP/dz = A ln{ [1+[(P(z)/B)*exp(-C)]] / 1+P(z)/B } where A,B and C are numerical values. I tried to plot Z vs P(z)  using ODE slovers but didnt get the result. I am attaching the expected plot also. I found some examples like ODE circuit in LV help but end up in empty graph after trying to slove this above equation. which methode is correct to slove this equation, please suggest some way.. Thank you very much.

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It's been a long time since I thought about diffEQ.  Please post what you think should be a solution -- it's probably easier for me to figure out why your graph is empty than it is to figure out how to solve an ODE from scratch. 

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