Differential equations non linear, second order by using maple

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SUMMARY

This discussion focuses on solving non-linear second-order differential equations using Maple software. The user expresses challenges with the dsolve command, noting that the solutions are extensive and unsatisfactory. Participants emphasize that while Maple is effective for both exact and approximate solutions, the success largely depends on the user's ability to make appropriate simplifications tailored to each specific equation.

PREREQUISITES
  • Familiarity with non-linear second-order differential equations
  • Understanding of Maple software, specifically the dsolve command
  • Knowledge of mathematical simplification techniques
  • Experience with numerical approximation methods in Maple
NEXT STEPS
  • Research advanced techniques for simplifying differential equations in Maple
  • Explore numerical methods for approximating solutions in Maple
  • Learn about alternative Maple commands for solving differential equations
  • Investigate case studies of non-linear second-order differential equations solved with Maple
USEFUL FOR

Students and researchers in mathematics, particularly those working on differential equations, as well as users of Maple software seeking to enhance their problem-solving capabilities.

alejandrito29
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For my thesis I need to solve many differential equations non linear, second order by using maple...
For example figure adjoint
using dsolve command, the solutions are very extensives and very bad.

there is a suggest for to solve the differential equations by using maple?

there is some methods in maple to find the approximate solution?

thanks
 

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Maple is a good tool to solve, both exactly and approximatedly, but it relies on you making the right simplifications to throw an useful answer, and that is specific for each equation. What is the problem you are trying to solve? is the one in the figure the simplest formulation?
 

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