2.3 Yk+1- Yk = (n+1)k" The linear inhomogeneous difference equation Yk+1 – Yk = (n + 1)k" (2.48) %3D FIRST-ORDER DIFFERENCE EQUATIONS 51 can be written as Ayk = (n + 1)k", (2.49) %3D where n is an integer. Consider the following equations and associated solutions: Ayk = 0, Yk = A; (2.50) Ayk = 1, Yk = k+ A; (2.51) Ayk = 2k, Yk = k² – k + A; (2.52) Ayk = 3k², yk = k³ – 3/½ k² + /½k + A; (2.53) %3D etc. In each case, A is an arbitrary constant. For n arbitrary, we have k-1 Yk = (n + 1)A-'(k") = (n + 1) i" + A, (2.54) i=1

2.3 Yk+1- Yk = (n+1)k" The linear inhomogeneous difference equation Yk+1 – Yk = (n + 1)k" (2.48) %3D FIRST-ORDER DIFFERENCE EQUATIONS 51 can be written as Ayk = (n + 1)k", (2.49) %3D where n is an integer. Consider the following equations and associated solutions: Ayk = 0, Yk = A; (2.50) Ayk = 1, Yk = k+ A; (2.51) Ayk = 2k, Yk = k² – k + A; (2.52) Ayk = 3k², yk = k³ – 3/½ k² + /½k + A; (2.53) %3D etc. In each case, A is an arbitrary constant. For n arbitrary, we have k-1 Yk = (n + 1)A-'(k") = (n + 1) i" + A, (2.54) i=1

Name: Explain the determaine red 2.3 Yk+1 - Yk = (n+ 1)k"The linear inhomoge
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Explain the determaine red 2.3 Yk+1 - Yk = (n+ 1)k"The linear inhomogeneous difference equationYk+1 – Yk(n + 1)k"(2.48)FIRST-ORDER DIFFERENCE EQUATIONS51can be written asAyk = (n + 1)k",(2.49)where n is an integer.Consider the following equations and

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: 2a₁b₁ Let A ab₂+ a₂b₁ ab3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b2 a3b₂+ a₂b3 b3 +3₁ a2b3 + a3b₂. Expressing 2a3b3 A…

Q: 3 4 2 1 (a) 1 5 7 (b) -6 3 -2 2 -6 -1 7 1 -1, | 2nd row and 1st column 3rd row and 2nd column 5 -1 6…

Q: 2a₂b₁ Let A = ab₂ + a₂b₁ a₁b3 + a3b₁ a₁b₂+ a₂b₁ 2a₂b₂ a3b₂+ a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing…

Q: Evaluate each determinant in Exercises 1-10. 1. 5 7 2. 4 5 6 8 3 3. -4 1 4. 7 9. 6. -2 -5 5. -7 14 1…

A: Determinant is calculated only for square matrices. A square matrix is a matrix with same number of…

Q: Can you please write in Words how the determinant is effected. A proof is not necessary

A: Since you asked for no proof and simple terminology.

Q: Find the determinate of the system 6 5 8 -1

A: Given, The system 658-1 We have to find the determinate of the system

Q: Find the determinant of S = [321 3 2 0 1 -2 310 1 023 2

A: Matrix given is,

Q: Confirm the following identity without evaluating the determinant directly a₁ b₁+ta₁ c₁ +rb₁+sa₁ a2…

Q: Construct the truth table of the given compound statement (~b^a)→(avb)

A: The given compound statement is: ~b∧a→a∨b

Q: Compute the determinant of matrix H and discuss the implication for model rationality:

A: Given:The matrix is .To Find:The determinant of the matrix.Concept Used:The determinant of the…

Q: Can you show how you did the second part, I am still unsure about how to just see that the…

A: In 1st part we replace 5th row by subtracting 5th row from 1st row. So 5th row is zero row.

Q: Evaluate each determinant in Exercises 23-28. 3 0 23. 2 1 2 5 |4 24. 3 2 -3 0 0 -5 -1 4 -1 5 -4 2 0…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Use properties of determinants to evaluate the given determinant by inspection. Explain your…

A: we have to use the properties of determinants to evaluate the given determinant. 1000001001000001

Q: (4) Use determinant to find the area of the triangle with vertices (0, 0), (x1,Yı), and (x2, Y2) in…

Q: 12.) Find the determinant of A= -2 3 1 57 -1 2 0 4 1 0 TN -2 1 3 -3 4 Show your work.

Q: |2–1 -1 -1 2-1 -1 -1 2-1 nxn

Q: must solve all parts for upvote

Q: 2. Find the determinant for (1 3 b) B =-5 2 1 -8 - 2 0 3 4) a) A = -1 -3 1 (-5 2 1 4.

Q: Determine the planarity of the following graphs. G₁ G₂ G3

Q: 5 1 -2 0 3 0 1 -2 0 4 3 1

A: We have to find determinant

Q: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: Please help with solution with steps

A: The determinant of the given matrix is 98. Explanation:Step 1:To compute the determinant of a…

Q: Compute the determinant of A by any method where:

Q: A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx +…

Q: "Determine whether each of the following statements is true or false,The determinant of any square…

A: A matrix is used to represent the coefficients of system of linear equations and the determinant…

Q: Determinar si los ángulos son coterminal 70, 430

A: In trigonometry, two angles in standard position are said to be coterminal if they share the same…

Q: Q2, please show work and show work in simplest way possible. Thanks.

Q: Find a 2 x 2 matrix such that 5 1 1 0 2 1

Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

Explain the determaine red

2.3 Yk+1 - Yk = (n+ 1)k"
The linear inhomogeneous difference equation
Yk+1 – Yk
(n + 1)k"
(2.48)
FIRST-ORDER DIFFERENCE EQUATIONS
51
can be written as
Ayk = (n + 1)k",
(2.49)
where n is an integer.
Consider the following equations and associated solutions:
Ayk = 0, Yk = A;
(2.50)
%3D
Ayk = 1, Yk = k + A;
(2.51)
Ayk = 2k, Yk = k² – k + A;
Ayk = 3k2, Yk = k³ – 3/½ k² + /½ k + A;
(2.52)
(2.53)
etc.
In each case, A is an arbitrary constant. For n arbitrary, we have
k-1
Yk = (n+ 1)A¬'(k") = (n + 1) i" + A,
(2.54)
%3D
i=1

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Let 2 -4 -1 1 1 3 -2 A = |2 -3 3 1 1 1 -2 -1 1 -2 1 Evaluate the determinant of A.
Use the properties of determinants, to determine which of the following equalities is true. 2 5 -2 3. 3 2 -1 6. All/of these -5 3. 1 -2 4 -6 1 -6 1 3. 2 4 -5 3. 1. -2 -3 8. 6. -3 8. 6. -1 6. 1 3. -1 -3 8. 7. 8. 5. 00 3. 2.
66 If a¡ ,b; EN for i = 1,2, 3, then coefficient of x in the determinant; (1+x)ab₁ (1+x) ª,b₂ a₁b₂ (1+x) 01b3 (1+x)a₂b₁ (1+x)a₂b₂ (1+x)ª₂b3 (1+x)@3b₁ (1+x)03b₂ (1+x)@3b3
2a₁b₁ Let A = ab₂ + a₂b₁ ab3 +azbi a₁b₂+d₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 +azb a₂b3+a3b₂. Expressing 2a3b3 A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx + 2fy + c = (x + my + n) h b f (I'x + m'y + n'), then h g g f = 0. C
4. State and proof any 2 properties of Determinants.
Evaluate the following fourth-order determinate: 2 1 0 2 3 4 -1 D = 5 2 3 -2 1 2 0 3.
Determine the Determinants of mat A 1 -2 3 mat A = 8 7 |-3 1 -9 -10]
Evaluate the determinants 15 1) 12 6.