Inexact Differential Equation with 4 Degree

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SUMMARY

The discussion centers on solving an inexact differential equation of the fourth degree, with contributions from user Jefferson Alexander Vitola. Participants share solutions through images due to a lack of familiarity with LaTeX. A specific query arises regarding the appropriateness of setting the particular solution as ##y_p=c_5e^{-x}## instead of the more complex form ##y_p=c_5e^{-x}+c_6xe^{-x}##, prompting further exploration of solution methods.

PREREQUISITES
  • Understanding of differential equations, particularly fourth-degree equations.
  • Familiarity with particular and general solutions in differential equations.
  • Basic knowledge of exponential functions and their properties.
  • Awareness of LaTeX for mathematical notation (optional but beneficial).
NEXT STEPS
  • Research methods for solving fourth-degree differential equations.
  • Learn about the method of undetermined coefficients for particular solutions.
  • Explore the implications of different forms of particular solutions in differential equations.
  • Familiarize yourself with LaTeX to present mathematical solutions effectively.
USEFUL FOR

Mathematics students, educators, and anyone involved in solving or teaching differential equations, particularly those focusing on higher-order equations.

jeffer vitola
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hello ... I wanted to demonstrate the solution of a differential equation, and as I do not yet know the latex language, then I take pictures of the leaves with my solutions ... the user who wants to give more solutions is well received and is welcome ...
att
jefferson alexander vitola (Smile)
https://www.physicsforums.com/attachments/1063._xfImport
https://www.physicsforums.com/attachments/1064._xfImport
att
jefferson alexander vitola (Smile)

Comments and questions should be posted here:

http://www.mathhelpboards.com/f53/commentary-inexact-differential-equation-4-degree-5704/
 

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Looks correct to me...but a question though to the forum ...in trying to solve for the particular solution, would it be ok setting ##y_p=c_5e^{-x}## rather than ##y_p=c_5e^{-x}+c_6xe^{-x}##? unless i am missing something here...
 

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