Math/Physic/Economic/Statistic Problems

Hello .i want to solve a system of differential equations in the paper using MATLAB with 2 causes ( 2 equations) using copulas.The solution have to agree with (5) and (16) for different values of copula parameter .I need the code for modiffication.i am ok if you can solve it with frank copula but i would appreciate if you can solve it also with onother copula
i would be really gratefull if you could help me.thanks
The parameter d/dt S(t) in excel file (CELLS N,O)
for any info please contact me
thanks in advantage