##### Question

# y'(t) = f(t, y), t ε io, 1], y(0) = 1. For eaching of the following f(t, y), find out whether f is Lipschitz continuous in the variable y on the set D {(t,y)10 t 1,-oo < y < oo), and de…

y'(t) = f(t, y), t ε io, 1], y(0) = 1. For eaching of the following f(t, y), find out whether f is Lipschitz continuous in the variable y on the set D {(t,y)10 t 1,-oo < y < oo), and determine whether, the intial value problem is well-posed. (a) f(t,y)e-y 1+t (c) f(t,y) = cos(ty).

y'(t) = f(t, y), t ε io, 1], y(0) = 1. For eaching of the following f(t, y), find out whether f is Lipschitz continuous in the variable y on the set D {(t,y)10 t 1,-oo

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