Solve a differential system in Scilab

[Nesrine]

Hello ,

I need to solve this differential system with Scilab and I don't know how to do it.

The system is presented below :

X1[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system1 = MapThread[#1 == #2 &, {X1'[t], A.X1[t]}];
X2[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system2 = MapThread[#1 == #2 &, {X2'[t], A.X2[t]}];
X3[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system3 = MapThread[#1 == #2 &, {X3'[t], A.X3[t]}];
X4[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system4 = MapThread[#1 == #2 &, {X4'[t], A.X4[t]}];
X5[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system5 = MapThread[#1 == #2 &, {X5'[t], A.X5[t]}];
X6[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system6 = MapThread[#1 == #2 &, {X6'[t], A.X6[t]}];
X7[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system7 = MapThread[#1 == #2 &, {X7'[t], A.X7[t]}];
X8[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system8 = MapThread[#1 == #2 &, {X8'[t], A.X8[t]}];
X9[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system9 = MapThread[#1 == #2 &, {X9'[t], A.X9[t]}];
X10[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system10 = MapThread[#1 == #2 &, {X10'[t], A.X10[t]}];
X11[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system11 = MapThread[#1 == #2 &, {X11'[t], A.X11[t]}];
X12[t_] = {x1[t], x2[t], x3[t], x4[t], x5[t], x6[t] , x7[t], x8[t],
x9[t], x10[t], x11[t], x12[t]};
system12 = MapThread[#1 == #2 &, {X12'[t], A.X12[t]}];


It's written in mathématica programming language

I need to solve it using Scilab and I don't know how to do it ?

Can you help me please


Thanks so much

 

[NateD]

for your help !The solution to this problem can be found in Scilab's documentation. Scilab has a function called ode which can be used to solve differential equations. The syntax for this function is ode(f,x0,t0,tf,options) where f is the differential equation, x0 is the initial condition, t0 is the initial time, tf is the final time and options are the options for the solver. For example, to solve the system of differential equations given above, you would use the following command: [t,x] = ode(A,X1[0],0,tf,options) where A is the matrix of coefficients, X1[0] is the initial condition and tf is the final time. You can find more information on how to use the ode function in Scilab's documentation.