Show that y(t)= and y2(t) = 2+1 are solutions to dy =-y+y+2yr +21-1-1. dr (b) Show...

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Show that y(t)=² and y2(t) = 2+1 are solutions to dy =-y²+y+2yr² +21-1²-1². dr (b) Show that if y(t) is a solution to the differential equation in part (a) and if 0<y(0) < 1, then r² < y(t) <t2 + 1 for all r. (c) Illustrate your answer using HPGSolver. Show that y(t)=² and y2(t) = 2+1 are solutions to dy =-y²+y+2yr² +21-1²-1². dr (b) Show that if y(t) is a solution to the differential equation in part (a) and if 0<y(0) < 1, then r² < y(t) <t2 + 1 for all r. (c) Illustrate your answer using HPGSolver.