Solving a Bernoulli differential equation

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Discussion Overview

The discussion revolves around solving a Bernoulli differential equation, focusing on the method of solution and discrepancies between participants' answers and those found in a textbook. The scope includes mathematical reasoning and problem-solving techniques related to differential equations.

Discussion Character

  • Mathematical reasoning, Homework-related, Debate/contested

Main Points Raised

  • One participant expresses difficulty in solving a Bernoulli differential equation and seeks clarification on their approach.
  • Another participant provides an attachment, presumably containing relevant information or a solution attempt.
  • A participant acknowledges a mistake in their previous calculations, noting a change in the sign of a term but still finds a discrepancy with the textbook answer.
  • There is a question about the simplification process used by an external tool (Wolfram) to arrive at a different answer.
  • Another participant inquires about the implications of the sign correction on the overall solution.

Areas of Agreement / Disagreement

The discussion reflects uncertainty and disagreement regarding the correct solution to the differential equation, with multiple participants presenting different interpretations and outcomes without reaching a consensus.

Contextual Notes

Participants have not fully resolved the mathematical steps involved in their solutions, and there are indications of differing interpretations of the problem, particularly concerning the simplification and sign correction.

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Hello!

I'm stuck at the moment with this differential equation. I've been trying to use the method for solving these equations, but my answer is not correct according to my book. Could anyone please explain what I'm doing wrong? Thanks!

WkjWSEE.png
 
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Hi !
see attachment
 

Attachments

  • error.JPG
    error.JPG
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Hi and thanks for your reply =)

A stupid mistake from my side, I changed it up and the only difference in the answer is that te^-t is now -te^-t. Still, the book doesn't agree with me unless they have the answer on some weird form. I also checked wolfram, they gave me this answer:

WJ6eFxI.gif


What exactly did they do to simplify it like that?
 
Where is the problem after the correction of sign ?
 

Attachments

  • equal.JPG
    equal.JPG
    3.6 KB · Views: 566

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