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Please Solve Both Parts of problem and include step by step clear explanation. will rate!

2a. Solve the initial value problem y = 3y + 2, YO) = 3.

2b. Determine equilibrium solutions and their type for y = y + 2y - 8y. Sketch a phase line diagram. o=y4+243 82

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2. aj 2 / y - 2 1 The nkegrating factor dt Tt7 2+ dt ttL e -m(t1) Mutiplimg by im ating factor twe gt, 2 ( ) 3ty () y( = 22 seeede -/2 /2 Lein imtaling (14 tame) onatamt 2 ce do + C 3/2 (eo) 2 sece do -31 2 -/2 2 -9/2 2 Sme tam Now cot e tote 442+1 4) NOw Y(o) /2 c(0) 2t (14 314 + (Say) f() the eqilibrium soutons by, ane 27-2) 0 C / esauibrium salu tios the are Nowf2)= 24 32 = 24 >o 3 2 2 in unstable Phare line diaqram y 2 y-4 from the hane line diagram mwe y oinsmi -stable. com

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