Solving the differential equation of planetary motion

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Discussion Overview

The discussion revolves around the challenges of solving a differential equation related to planetary motion. Participants are exploring different methods of solution and comparing results, focusing on the discrepancies between their approaches and established solutions.

Discussion Character

  • Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant describes their attempt to solve the differential equation but notes that their solution does not match the general solution and fails upon double differentiation.
  • Another participant references a specific paper that presents a method involving Central function and Particular Integral, indicating familiarity with this approach.
  • A participant expresses confusion regarding the equations presented and suggests that a simpler solution might be sought.

Areas of Agreement / Disagreement

Participants do not appear to reach consensus on the validity of the different methods used to solve the differential equation, with multiple competing views and unresolved questions about the approaches taken.

Contextual Notes

There are indications of missing assumptions and potential misunderstandings regarding the derivations and methods used, but these remain unresolved within the discussion.

RpWinter
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Hey, this is how i tried solving the differential equation
1Dhki.png

The solution however does not match the general solution of the equation. Also differentiating it twice does not give me the previous equation. Please tell me if i did some mistake while solving.
I already know how to solve by finding CF and PI. I want to know what's wrong with this method.
 

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Sorry I don't understand your equations or where they came from. I thought you were looking for a simpler solution
 

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