Question

(1 point) The differential equation y" - 2ay' – 2y = el (0) --2,5/(0) - 3 has a power series solution about == 0 of the form The first six coefficients are Note: You can earn part of credit on this problem Preview My Answers Submit Answers times. You have attempted this problem You have s attempts remaining

Answer 1

n20 no Given differential equation, " - Zagl-2y - en where 7(0) = -2, 260703 let, 7(e) { Cuah be a solution vy) a nannt vl(n) Ench.) Cn x nr2 andere un from the equation we have un nome chan-2 Z enne " _ q 2 Ch 27 - ( 20. ne zy (net]@nr 22- (an en + 2.6 th ) 2 - no . (n+ 2) (241) (ntza (20+2) Cnth 11 e chez & (2n+2) Cathy (0+2)(n+1) Since, y (0)2-2 & coenz and y'(o)2 3 , & 3. Now, . (2.0 +2) Coto 2. (-2) + - - 3 2 (2:142) <+ 4834! caz (2. 2+ 2) (2 + 1 6X(-2) + + 4.3 2.1 3.2 (2.3+2) C3 + 37 5.4 8x (3) + 1 s The first six co-efficient are Coa – 2, ca 3 car – 32 Cza 13 cur – 12 and so I (Any).