A system comprising three standard ordinary differential equations (ODEs) has been successfully resolved.

It seems you might be looking to discuss the resolutions of a system of ordinary differential equations (ODEs). However, without specifying the exact equations or the context, I can provide some general insights.

When working with systems of ordinary differential equations, the key steps often involve:

1. Formulating the System: Clearly define your ODEs, including any initial conditions or boundary values that may apply.
2. Choosing a Method of Solution: Depending on the nature of the equations (linear, nonlinear, homogenous, etc.), you may choose from methods such as separation of variables, integrating factors, or numerical methods like Euler's method or Runge-Kutta methods.
3. Implementing the Solution Method: Carry out the chosen method with careful attention to applications of mathematical principles. This could involve creating matrices for linear systems and finding eigenvalues or eigenvectors for stability analysis.
4. Analyzing the Solution: After obtaining the solution, analyze it to understand its behavior over time, checking for the stability of equilibria, or conducting phase plane analysis.
5. Verifying Results: Ensure that any numerical solutions are validated by checking against the original ODEs.

If you have specific equations or results that you want to discuss or verify, feel free to share them!