Need help, impossible differential equation

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Discussion Overview

The discussion revolves around a differential equation related to a problem involving a tapered beam. Participants are seeking assistance with the equation, which is identified as a first-order linear differential equation with non-constant coefficients, although later it is noted that it is actually a second-order equation.

Discussion Character

  • Homework-related, Technical explanation, Exploratory

Main Points Raised

  • One participant mentions the equation is a first-order linear differential equation with non-constant coefficients, expressing difficulty in finding its solution.
  • Another participant corrects the classification of the equation, stating it is actually a second-order differential equation.
  • A suggestion is made to simplify the constants in the equation to facilitate the solving process.
  • A participant expresses gratitude for assistance received in the discussion.
  • A later post introduces a specific form of the equation to be solved, indicating a potential direction for the discussion.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the classification of the differential equation, with some asserting it is first-order and others correcting it to second-order. The overall discussion remains unresolved regarding the best approach to solve the equation.

Contextual Notes

There are limitations in the discussion regarding the clarity of the equation's form and the assumptions underlying the coefficients, which are not fully detailed. The specific mathematical steps required for a solution are also not resolved.

Juseb3
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in attachment you can see the equation
 

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I'm sorry, I know that if Ed has a solution, but I really need help.
 
It is a first order linear differential equation, but the coefficients are not constant.

It's solution isn't trivital; for me.

I am student of undergraduate of civil engineering.

The Ed is of a problem of a tapered beam
 
Juseb3 said:
It is a first order linear differential equation, but the coefficients are not constant.

It's solution isn't trivital; for me.

I am student of undergraduate of civil engineering.

The Ed is of a problem of a tapered beam

Actually, it's a second-order one.
 
It is easier to see how to proceed if you write the constants on a simpler form.
 

Attachments

  • Bessel ODE.JPG
    Bessel ODE.JPG
    16.9 KB · Views: 1,112
JJacquelin thank you very much for your help!
 
For solving (X^n)*U''-B*U=0 :
 

Attachments

  • Bessel.JPG
    Bessel.JPG
    5.1 KB · Views: 486

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