Find the solution of the initial value problem ˙~x = f~ (~x) with ~x(0) = ~x0 for f~ (~x) = −µx1 −x2 + x 2 1 , ~x = x1 x2 , ~x0 = a b for arbitrarily chosen (a, b, µ) ∈ r 3 . is the solution ~u(t; a, b, µ) a continuous function of all variables (t, a, b, µ) ∈ r 4 ? give an interval t ∈ [−a, a] and an open neighbourhood (a, b, µ) ∈ u ⊂ r 3 such that ~u ∈ c([−a, a] × u, r 3 ).