(2) (20 pts.) Solve the differential equation, - 2 + y = 5+ General soln : y = yetgp Corresponding homogeneous eqn: y"-2

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2 20 Pts Solve The Differential Equation 2 Y 5 General Soln Y Yetgp Corresponding Homogeneous Eqn Y 2 1 (50.5 KiB) Viewed 62 times

(2) (20 pts.) Solve the differential equation, - 2 + y = 5+ General soln : y = yetgp Corresponding homogeneous eqn: y"-2y+y=0 charc. egn. 12-2++! =D =>(4_1450 => 1=1 Fundamental set of solns. {et, tety Vc = c, ett catet Porticulat Solution, yo: 1) 5,= { '} S2 = { et} 2.) S = {1} S₂ = {tet} ? 3.) Ip = A + Btet Yp = 2Btc + Blut Jp = 2Bot + 4B t ct + Bt het NO Yo" - app'typ = 5+ et ) -> (2Bettsetetiklet) -2 (abte, BEST) + (A + Bét)=5+ede A + 2B et = 5tet => A = 5, 2B =+ => BEŹ => Up = 5 + 1 let CH General soln y= cettezte + 1 tett 5 (