취소3(⑤2(1+%) ²n=5n(5)마크업Determine if the series converges,enter CON when converging, andDIV when diverging. -완료................+

Answered: Image /qna-images/answer/32139828-c2ba-41b8-b7a5-3d72ed5bc2ec.jpg

Answered: 3 «Σ(1+)" (5)

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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limm 33+2X-子メ「+9xとメ→+O
Н) (3x? + 4x — х* - 2х' - 4) + (х + 2) 0) (2x* — 2х' + 4x* -3) + (х +1) Р) (-x*+ 2x*— 2х — 3x* + 1) + (х-2) T) (- 25 - 4x* - 3x* + 4х) + (х - 4)
The sequence {1,2,3,5,8,13,21,.} satisfies the difference equation Xp+2=Xp+1+Xp where Xo=1 and X1=2, whose solution is shown below. Try finding the new solution if we index the sequence ahead by 1 i.e. recompute the constants starting with Xo=2 and X1=3. Try it again where Xo=3 and X1=5. Do you see a pattern? So then, what is the solution after indexing m steps ahead i.e. if the mth member in the sequence is re-indexed to be the oth member? 5 – 3/5 + n 5 + 3/5 1 + V5 1 – V5 10 10 2 m+n m+n 5 + V5 1+ v5 5 – V5 - V5 X, = 10 2 10
S(1 - 80* + 160') do 22.
7. (x²-1) (71,)"
2) (2E*_ 4 e²_ 1) |
If z1 3D 3cjs (금찌) z2 = 3cjs (-) and z3 = 6cjs ( T) %3D (21) ? what is (2)*(3)" (을-)7 뚜 이 0 12플 O 12 (-등) O none of the choices
Then where a11 = where C₁1 = ,a12 = , C12 = 8 A 1 = ( ' ; ), B = ( = 3 ² ). C= (§ ₂). A+BT a21 = = C21 = 1 all a21 a22 = A=B+ C² = ( C₁1 C21 , C22 = a12 922 C12 C22 and
Then where a11 = where C₁1 = ,a12 = , C12 = 8 A 1 = ( ' ;). B = ( −3 5). C = (§ ₂). c A+BT = C21 = a21 = A - B + C² = ( all a21 1 a22 = C₁1 C21 , C22 = a12 922 C12 C22 and
Consider Evaluate ( 3x²+ 6x ) e (6x-+ 3x)el'+y?) (6x+9x) e (x+y2) O (9x++6x)e{*+y?)
Prove that : 1 P2n-1 P211 „(¯Ð) - ² (-9) ² () + "(- 9) ²³99)+ Pn + - P2 (---) ² (1) 2
1דחכ 1- " (1 -) En=1 5. Σ 5h-1

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