(a) Show that y1(t) = t2 and y2(t) = t2 + 1 are solutions to
.
(b) Show that if y(t) is a solution to the differential equation in part (a) and if 0<y(0)<1, then t2<y(t)< t2 + 1 for all t.
(c) Illustrate your answer using HPGSolver.
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