I have to solve a 2nd order differential equation system(9*9) in matlab and I have some problems with it: the functions that I have are like these:
f1=A11*x1''+A12*x2''+A13*x3''+......+A19*x9''+B11* x1+B12*x2+.....+B19*x9
f2=A21*x1''+A22*x2''+A23*x3''+......+A29*x9''+B21* x1+B22*x2+.....+B29*x9
.
.
.f9=A91*x1''+A92*x2''+A93*x3''+......+A99*x9''+B91 *x1+B92*x2+.....+B99*x9
%A & B are constant .
they are linear equations.
The initial conditions: x1(0)=x2(0)=....x9(0)=0, x1'(0)=.....x9'(0)=0
Thank you for your answer, I tried ode45 but It didn't work. The problem is : There are all the second order differential in each equation, and in each iteration I need the amount of x2'' and x3'' , ... to calculate x1'' . This problem isn't similar to the simple example of odes.
Thank you again,I'll be appreciated if you could help me by more information.
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