Question: How to calculate an array using initial and final values

Hello, 

I'm still new to maple, so I hope someone could help me out here

In the file attached I'm trying to generate equations depending on an array of values T[0 to m], of these I've the first T[0] and final T[m] values

before I set these 2 values, I got equations in T0 to T6 setting m=6, when i used the 2 values known i got the same equations only with T0 and T6 substituted, how do i solve them to get the rest of the T values, T1 , T2, and so on

 

thank you,


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