n(n – 1) is O(n²). 2 Show that

Q: 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).

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Q: (x2 – 1)y" – 2xy' + 2y = 0 - tion ofS the o uation

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Q: (n² – 3n – 21) ÷ (n –7) -

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Q: 3) Find the general solution by using reduction of order method to ty" – (t + 1)y' + y = 0 given…

A:

Q: 4.1c. Show that the product of two integers that can be represented by x2 +dy?, is always another…

A: Prove that the product of two integers of the form x2+dy2 is always of the form x2+dy2. Consider two…

Q: x2+1 =0 Has soluion in R

A: Solution:

Q: 28x+4y+kz -10 -5x-8y-4z = -2 e must have, k +|

A: The given system of equation is: - 6x + 4y + 7z = 3 28x + 4y  + kz = -10 - 5x - 8y - 4z = -2

Q: Find for x³+y³ = 2. -4x O O (E) None of these ○ 3x² + 3y² = 0 2x *(*_*) O

A: Note:- As per the company guidelines we can solve first question. I hope that the given solution…

Q: B/Fnd Z transform z(n) = " (n) – u(n-5))

A: Given equation: x(n)=15nun-un-5

Q: If (ar + br) = 2n %3! n+1 and k-1 8. E(ak - br) = n+2 - , then ar %3D k-1 k-1

A:

Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: 00 8tan-in Zn=1 n3D1 1+n2

A:

Q: Solve this problem About Faktorial with the full step, thank u Prove that :…

A: Note: There seems to be a typo in the question k!(k−2)!(k−1)!(k−3)! and the actual question should…

Q: 4n +5 Describe the long run behavior of f(n) = 3nº – 5n° As n → – 00, f(n) → As n → 00, f(n) → Add…

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Q: (a) Find the least positive k E N such that 3* =10 1. (b) Using this k, prove: for all m e N, 3m =10…

A: (a) find the least positive k∈ℕ such that 3k≡10 1 b) using this k prove that : for all m∈ℕ 3m≡103m÷k…

Q: 10 3. Prove that the L{10e2} = s-2

A:

Q: (Зп+5 Find infimum of A |n E N} n+9

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Q: Express y as a fiunetion af k if y - 2r+5, 1- V3t -1, and t- 3k - 5.

A:

Q: Let a, b eR with a < b. Assume that a + <b - for all n e N. Show that n n=1

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Q: 2n [3] (b) E for n 21 2k k=0

A: Answer

Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

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Q: For positive integers n and k (k sn+ 1), the kth term of (a + b)n is given by

A: The binomial expansion of (a+b)^n is

Q: 2. and XR %3D C. Two tails with n = 34 , x =

A: Solution: From the given information, level of significance is 0.01 and n=34.

Q: B// findZ transform | x(n) = (0.8)" u(-n- 1)

A: Solution

Q: Q3: Find the Wronskian for the following solutions. Y, = 1, Y =In

A: Wronskian= 112ln1+x1-xd1dxddx12ln1+x1-x= 112ln1+x1-x01x+11-x=1x+11-x

Q: :find E10 (-1)(n-1) Zn=1 (n+1)2 %3D1

A:

Q: 1. Rewrite c(x) x² +5x+2 in the form y = p(x) + r(x) where r has degree less than b. x-3 6(x) 2.…

A: The objective of the question is rewrite the given equation and end behavior.

Q: nx) in the E 2n is

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Q: Calculate the residue of eZ.e-5=0

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Q: 4 Σ E Vn +1 n=-1

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Q: 00 n + 1 is divergent. If we multiply any constant (labeled as h)to the n + 1 such that n + 2 n=1 n…

A:

Q: If m*n Denofes -3伝 + Find the 2mn?

A: Given that m*n=2m-n2 therefore -3*5=2-3-52

Q: * السؤال .12 If the Wronskian of the DE : x'y" + xp(x)y +3y 0 is µ(x) = e? Find p(x) = %3D %3! O -2r…

A:

Q: 1 if Pn (x) dx32 . then n= -1 0.a o none of theseco -1do

A:

Q: 6. What is the coefficient of x'y" in the expansion (4x + 5y) s. Show your work here:

A: We find coefficient of x7y8 in the expansion (4x+5y)15

Q: () 2k = 3", Vn E N k k=0 k n+1 Σ 2 Vn E N, n > 1 3 k=2 į * () 主) n 3k = 4", Vn E N %3D k k=0 = 2"-1,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

A:

Q: 2.4.10 Show that det(e4) = etr(A) for all A E Mn(C). D %3D

A: The given problem is to show the given identity. To show: det(eA)=etr(A) for all A belongs to Mn(C).

Q: 20 + 7)* Evaluate the integral dæ + 7)* * by making the appropriate substitution: u = dx (2x + 7)4

A: Let's find integration of given function.

Q: Consider the following LP Min z= 3x, + 2.x, +7x, s.t - x, +x, =10 -2x, + x, - x, <-10 X,,X,,X, 2 0…

A: In the given LP problem when we solve it via simplex method, we use a series of tableaus.

Q: Use Gauss's trick to determine H(n)=1+5+9+13+...(4n-7)+(4n-3)+(4n+1) I got n(4n+2)/2 is this…

A:

Q: 12. Find the general solution using Reduction of Order: a) y" = In x

A: you have asked multiple questions in a single request we would be answering only the first question…

Q: The fourth term in the expansion (2r + y)' is

A: The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued…

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k₁ in the…

A:

Q: 2. If the Wronskian of y1 and y2 is e2" (x² + 5) and y1 = e2", find y2. %3D

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Q: The Wronskian of the two solutions of ty- 2ty -t8y 0 is ct2. Select one: O True O False

A:

Q: Q2) let A = [ 1 find e4t using Gauss-Jordan method.

A: First we will find the eigenvalues and corresponding even vectors of the matrix by Gauss-jordan…

Q: 2 O Expand Pn = 2x +3x +) in Term of P.f,.

A:

Q: #02:-Discuss all the cases of reducible to hamggenou D.E form.

A: