When solving differential equations by the method of undetermined coefficients, why do we add the complementary and particular solutions together? I don't understand why the former wouldn't be included in the latter. -
![A Comparison Between Differential Equation Solver Suites In MATLAB, R, Julia, Python, C, Mathematica, Maple, and Fortran - Stochastic Lifestyle A Comparison Between Differential Equation Solver Suites In MATLAB, R, Julia, Python, C, Mathematica, Maple, and Fortran - Stochastic Lifestyle](http://www.stochasticlifestyle.com/wp-content/uploads/2019/11/de_solver_software_comparsion-1-scaled.png)
A Comparison Between Differential Equation Solver Suites In MATLAB, R, Julia, Python, C, Mathematica, Maple, and Fortran - Stochastic Lifestyle
When solving differential equations by the method of undetermined coefficients, why do we add the complementary and particular solutions together? I don't understand why the former wouldn't be included in the latter. -
![I want to solve 4 differential equations simultaneously and I used the Lobatto approach in MATLAB but it didn't converge? How can I find a better approach? | ResearchGate I want to solve 4 differential equations simultaneously and I used the Lobatto approach in MATLAB but it didn't converge? How can I find a better approach? | ResearchGate](https://www.researchgate.net/profile/Behnam-Mohamadi-2/post/I_want_to_solve_4_differential_equations_simultaneously_and_I_used_the_Lobatto_approach_in_MATLAB_but_it_didnt_converge_How_can_I_find_a_better_approach/attachment/59d6237bc49f478072e99808/AS%3A272128228691970%401441891833874/image/equation.jpg)