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solving a 3rd order differential equation using thomas algorithm

$
0
0
t '''+ t*t''- (t')^2= -1
Boundary conditions are t(0)=0, t'(0)=0 & t'(infinity)=1
consider the primary variable to be y
i need to obtain the values of t , t' , t'' & intergration (e^(-integration[t(y) dy])) for 0<=y<=5

also please give some explanation for the syntax

thank you

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