Differential Equations/integrate eq

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Question
bs'd,

 What's the generic expression(primitive) resulted from the integration of the following eq.:

           dy = dx/(exp(-k1*x)+k2*x+k3)  ,where k1,k2,k3 are constants.

  regards
     Jonatan

Answer
Hello,

Wow, that's a tough one!

Let me just make sure, the problem is:
Integrate[dx/(e^(-k1*x)+k2*x+k3)] - yes?

If so, then I'm afraid I cannot help, even Maple 12 and
Mathematica could not handle it (which makes me feel better
that I was not able to figure it out)!!!

May I ask what this is for or how this integral came about?

Sorry, but I am pretty sure there is no (generic) solution!

Abe

Differential Equations

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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