1) Based on the finite difference method, what is the advanced scheme of the first, second and third derivatives with second order accuracy?
2) Consider the following equation:
d3y/dt3+2d2y/dt2+4dy/dt+8y=te2t
Where y(0) = 0 and y(3) = 28.2
By using the results from the session (1), solve the equation for t E [0 ; 3], with delta(t) = 0.3
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