Differential equations non linear, second order by using maple

[alejandrito29]

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 aproximate solution?

thanks

 

[gato_]

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?

 

[oswaler]

I understand the challenges of solving nonlinear, second-order differential equations, especially when working on a thesis. Maple is a powerful tool for solving differential equations, but it is important to note that there is no one-size-fits-all approach for solving these types of equations.

To address your concerns about the solutions being extensive and "bad," it is important to carefully consider the initial conditions and parameters used in the equations. Small changes in these values can greatly affect the resulting solutions. Additionally, it may be helpful to try using different numerical methods or adjusting the tolerance settings in Maple to improve the accuracy of the solutions.

In terms of suggestions for solving differential equations using Maple, I recommend exploring the various built-in functions and packages that are specifically designed for solving nonlinear equations. The "dsolve" command is a good starting point, but there are also other methods such as the "pdsolve" command for partial differential equations and the "numeric" package for numerical solutions.

As for finding approximate solutions in Maple, there are several methods that can be used such as the Euler method, the Runge-Kutta method, and the shooting method. These methods may require some manual adjustments and trial and error, but they can provide reasonable approximations for nonlinear equations.

Overall, I encourage you to continue exploring different methods and techniques in Maple for solving your differential equations. With careful consideration and experimentation, you can find the best approach for your specific equations and obtain accurate solutions for your thesis.