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y" + any' + 3y =0 (i+2)(ir) a;g + aia; + 3a; =O j (j-1) a; + 2(j-2)a; +3af-z =O -2lj-2) -3 a; = -aj-2 j (5-1) 1-25 aj-2 j lj-1) %3D T- 2l2> 2(2-1) *** X 1- 2 (4) |- 216) 6(6-1) ***X •• X +... %3D 4(4-1) -3 2 -3 -7 -3 30 = )-를 x 7 ,4 구구 240 X T -3(3) 3. 1-215) 1-2(7) ,구 9 3 (3-15 ** X = X + ... (1-t)t + -13 -9-5 7 42'20° Ğ 20 3 =x - E x3 + * X.

y" + any' + 3y =0 (i+2)(ir) a;g + aia; + 3a; =O j (j-1) a; + 2(j-2)a; +3af-z =O -2lj-2) -3 a; = -aj-2 j (5-1) 1-25 aj-2 j lj-1) %3D T- 2l2> 2(2-1) *** X 1- 2 (4) |- 216) 6(6-1) ***X •• X +... %3D 4(4-1) -3 2 -3 -7 -3 30 = )-를 x 7 ,4 구구 240 X T -3(3) 3. 1-215) 1-2(7) ,구 9 3 (3-15 ** X = X + ... (1-t)t + -13 -9-5 7 42'20° Ğ 20 3 =x - E x3 + * X.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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HWIO # Chonges you + axy' + 3y =0 2ia; + 3a; =c + -ac;-2) -3 a;= j (5-1) 1-25 aj-2 j lj-1) | - 2 l2> 2(2-1)**X 1-2(4) 4(4-1) *** X T-216) %3D ... +... Xo.. (l-9)9 =l+ x + -구 니 구-3 ·을 .x 12 30 = | - X 구 6 구구 240 X 1-2(3기 X +313-1) T-215) 515-1)**X .3 192=x+ • x³ + 1-217) 7 ... ... =X + Ex + -13 -9 42'20 구 E x3 3 13
Transcribed Image Text:HWIO # Chonges you + axy' + 3y =0 2ia; + 3a; =c + -ac;-2) -3 a;= j (5-1) 1-25 aj-2 j lj-1) | - 2 l2> 2(2-1)**X 1-2(4) 4(4-1) *** X T-216) %3D ... +... Xo.. (l-9)9 =l+ x + -구 니 구-3 ·을 .x 12 30 = | - X 구 6 구구 240 X 1-2(3기 X +313-1) T-215) 515-1)**X .3 192=x+ • x³ + 1-217) 7 ... ... =X + Ex + -13 -9 42'20 구 E x3 3 13
Find two power series solutions of the given differential equation about the ordinary point x = 0: y" – 2xy' + y = 0.(Please write four terms in each blank) Y1 = 1-3/2x^2+7/8x^4 +... and y2 x-5/6x^3+3/8x^5
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0: y" – 2xy' + y = 0.(Please write four terms in each blank) Y1 = 1-3/2x^2+7/8x^4 +... and y2 x-5/6x^3+3/8x^5
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