For the system of equations below, check whether the two conditions in the Implicit
Function Theorem are satisfied at point A = (x, y, t) = (1, 1, 0), where x and y are
variables and t is a parameter. If yes, find the expression for &dx/&dt and evaluate it at A.
EQ#1 xy2 − y = 5t
EQ#2 2yt = x3 – 1
Pretty confused as to where to start, i think it may involve a jacobian matrix however?
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