For the equation (2x² +3x³)y" – 3xy' – (3 +5x)y= 0 we look for a series solution of the form y=x' Σ aηχ". n = 0 with r the largest root of the indicial equation. The recurrence formula for the coefficients is given by O None of the other alternatives is correct. 1 김 - 3(k2 - 1)a, +5a 3 k- 5). 4k(k + 5) k- 1 o ak (- 3(k² - –)a <-1+5ak-2). k(2k + 7) 4 1 O °k- 2K(2k + 1)' [- 3(k² – 1)a +5a 5). ak k(2k +7) 1 [- 3(k² + 3k + 2)ak-1+5ak-2).

Q: X4 X6 x8 x10 3. Y = x2 + 3! N Terms ** * ... 5! 16 1L +

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Q: Factor the following completely.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (4x -1-7) dr– (5x - 21-8) di = 0, when 1 = 1, x = -2 D (x-1-1)' = 8 (2r-t-3) O (5x - 21 - 8) = 3 (2x…

A: (4x-t-7)dx-(5x-2t-8)dt=0 when t=1, x=-2

Q: |: Use Mashematizel Induethon to solve bhe followbing; j I(2") + 2(2²) + 3(2-³)+.. .+ n(2^)…

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Q: 5n+10 13. Reduce to lowest terms. n-4 5 а. n-2 5nt10 b. n+2 5n С. n-3 5n d. n+3 5n e. n-2 x-2x 3 14.…

A: 13 Given information: The expression is 5n+10n-4. Calculation: Reduce the expression into lowest…

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Q: рарer 2 4. -INDICES AND SURDS page 37 2017 J Q2 Do not use a calculator in this question. 9 V30 can…

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Q: dealing with one piece at à tir Deal with the "T+" first. 10. cos (* - a) = cos (T + (를 -a)) = 11.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: b.            The given recurrence relation is…

Q: 8 53 - 4 9 3X tex -X'-7X -x'+7=0 a. How many non-real roots does the equation above have? Justify…

A: Given: 3x8+6x5-x3-7x4-x9+7 = 0 To find: (a) Number of non- real roots of the given equation. (b)…

Q: 58. (х+4)(х-5) 59. (3х-2)(х-6) 60. (5x+3)(4x-1) 61. (3х+5)(3х-5) (x+3) 62. (4x-5) 63.

A: 58. x+4x-559. 3x-2x-660. 5x+34x-161. 3x+53x-562. x+3263. 4x-52

Q: Which equation represents the following function? р (4, 18) (9,3) q

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Q: 26 E(- 1)"2n - %3D n=0

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Q: 1. (2Y²-6) (2Y+9) 2.xXx-Y) (x+1) 3.rx-pry+1

A: This is a question of counting and finite math.

Q: x(n) = 3"u(n-2)-n7" = 3"u(n - 2). What z-transfor =n7"u(-n-1). What z-trans the following is…

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Q: A car costs x wholesale. The price the dealer pays is given by the function s(x) = = x-1 – 200 where…

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Q: Section 1 - Question 2 Alice is deriving the formula for the sum of a finite geometric series. Her…

A: The given expressions are:Sn=a1+a1r+a1r2+a1r3+...+a1rn-1                     ........…

Q: [a + 9   5z+1   9m]       [10a    9z    6m]        [20     -55    135]…

A: Given that: a+95z+19m9k35+10a9z6m8k35=20−5513568610 To find the value of a, z, m, and k.

Q: Multiply. V3 cis (똥). 유cis () 4 o B cis (3) 3/2 8 2/3 8. cis () o 좋 cis () 3/2 8. 31π 18 2/3 cis (중)…

A:

Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

Q: x + 1, then find the value of a. The polynomials ax - 3x² +4 and 2x - 5x+awhen divided by (x – 2)…

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Q: 10.The first three terms in the expansion of (1+x – 3x-)* are the same as the first three terms in…

A: Answer of Question #11 is not match with given option.please check it carefully...

Q: Find the value of the constant term in the binomial expansion (5x –) . 3 12 (A) (2) 56 36 (B) O 5°…

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Q: (i) Show that (5 + 3v2)² = 43 + 30v2. Hence find, without using a calculator, the positive square…

A: As you didn't mention the question numberto be solved so i solved First 3 question.For remaining…

Q: a(1 – rª ) n³(1-0.5'g(n) ; (1 – r) (1-0.5) (n³ – n³+0.5!g(n)) 0.5 =(2n3 – – 2n² ) 2 * n³ * 0.5'g(n))…

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Q: 6. (V-3) 7. (-3)10 8. 64 1 9. -125 10. 8. -256 1.

A: We use  (am)n  = amn

Q: -10₁ 30-0 = -2 8 5 6 9 5 -3 -21 2 -7 x2 1 2 X3 -3 4 -1 -7 4 Solve for the unknown values using…

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Q: Iron Sports have been tracking the sales of boxing bags for a number of weeks. Due to problems with…

A: Given information: Amount of money earn by company in first week = $1500.

Q: For what values of a and b are x +1 and x +2 factors of xr² ax-bx -82 Write down the other factor.…

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Q: Find (4t + 1)u(t-1)} e-5(55+4) s² a. b. C. d. O Ob OC Od 3e-s 5² S e $(5s + 1) s² e-5(55-4) 5²

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Q: 3.The iteration formula can be used to find (A) square root of A (B) cubic root of A (C) fourth root…

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Q: 2/3 /13 Find )

A: Given  x23x2+33x2+2x-16 Derivative is calculated as shown below

Q: O-26429052 2n (41) +1+(+り

A:

Q: OJennifer Findley Write an approximate measure for each angle shown.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.