7. my project.nb 7
First Order Problem
First Order Problem
linearSys 1 & eqOrder1;
linearSys . displayRule TableForm
D2 q1,1
0
D0 q2,1 k q2,1
Formal solution of the First Order Problem generating solution
generating Order Problem solution First Formal of solution the
sol1 q1,1 FunctionT0 , T1 , T2 , T3 , T4 , A1 T1 , T2 , T3 , T4 ,
q2,1 FunctionT0 , T1 , T2 , T3 , T4 , 0
q1,1 FunctionT0 , T1 , T2 , T3 , T4 , A1 T1 , T2 , T3 , T4 , q2,1 FunctionT0 , T1 , T2 , T3 , T4 , 0
8. 8 my project.nb
Second Order Problem
Order Problem Second
Substitution of the solution on the Second Order Problem and representation
and Order Problem representation of on Second solution Substitution the2
eqOrder2 . displayRule
D2 q1,2 2 D0 D1 q1,1 , D0 q2,2 k q2,2 D1 q2,1
0
order2Eq eqOrder2 . sol1 ExpandAll;
order2Eq . displayRule
D2 q1,2 0, D0 q2,2 k q2,2 0
0
we eliminate secular terms then we obtain
eliminate obtain secular terms then we2
sol2 q1,2 FunctionT0 , T1 , T2 , T3 , T4 , 0 , q2,2 FunctionT0 , T1 , T2 , T3 , T4 , 0
q1,2 FunctionT0 , T1 , T2 , T3 , T4 , 0, q2,2 FunctionT0 , T1 , T2 , T3 , T4 , 0