Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
3.4.1 Example A An easy calculation shows that y0 = 2*, Yk (1) %3D (2) = 1 (3.77) are solutions to the homogeneous equation Yk+2 3yk+1+2yk = 0. (3.78) Furthermore, their Casoratian is given by the following expression: 2k+1 1 2k+2 1 C(k + 1) = -2k+1. (3.79) = Let us use these results to calculate a particular solution to the inhomo- geneous equation Yk+2 - 3yk+1 + 2yk 4* + 3k2. (3.80) Let Y be the particular solution, where Yk = C1(k)2* + C2(k). (3.81) The functions C1(k) and C2(k) satisfy the following equations: 2k+1AC1(k) + AC2(k) = 0, %3D (3.82) 2*+2AC1 (k) + AC2(k) = 4* + 3k2.

3.4.1 Example A An easy calculation shows that y0 = 2*, Yk (1) %3D (2) = 1 (3.77) are solutions to the homogeneous equation Yk+2 3yk+1+2yk = 0. (3.78) Furthermore, their Casoratian is given by the following expression: 2k+1 1 2k+2 1 C(k + 1) = -2k+1. (3.79) = Let us use these results to calculate a particular solution to the inhomo- geneous equation Yk+2 - 3yk+1 + 2yk 4* + 3k2. (3.80) Let Y be the particular solution, where Yk = C1(k)2* + C2(k). (3.81) The functions C1(k) and C2(k) satisfy the following equations: 2k+1AC1(k) + AC2(k) = 0, %3D (3.82) 2*+2AC1 (k) + AC2(k) = 4* + 3k2.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 31E
See similar textbooks
icon
Related questions
Topic Video
Question

Explain thedetermaine

3.4.1 Example A An easy calculation shows that Yk 2*, Y (2) = 1 (3.77) are solutions to the homogeneous equation Yk+2 – 3yk+1 + 2yk = 0. (3.78) Furthermore, their Casoratian is given by the following expression: C(k + 1) =+2 =-2*+1. 2k+1 1 2k+2 1 (3.79) Let us use these results to calculate a particular solution to the inhomo- geneous equation Yk+2 – 3yk+1 + 2yk = 4* + 3k2. (3.80) Let Yk be the particular solution, where Y = C1(k)2* + C2(k). (3.81) The functions C1(k) and C2(k) satisfy the following equations: 2k+1AC1 (k) + AC2(k) = 0, (3.82) 2*+2AC1 (k) + AC2(k) = 4* + 3k². -
Transcribed Image Text:3.4.1 Example A An easy calculation shows that Yk 2*, Y (2) = 1 (3.77) are solutions to the homogeneous equation Yk+2 – 3yk+1 + 2yk = 0. (3.78) Furthermore, their Casoratian is given by the following expression: C(k + 1) =+2 =-2*+1. 2k+1 1 2k+2 1 (3.79) Let us use these results to calculate a particular solution to the inhomo- geneous equation Yk+2 – 3yk+1 + 2yk = 4* + 3k2. (3.80) Let Yk be the particular solution, where Y = C1(k)2* + C2(k). (3.81) The functions C1(k) and C2(k) satisfy the following equations: 2k+1AC1 (k) + AC2(k) = 0, (3.82) 2*+2AC1 (k) + AC2(k) = 4* + 3k². -
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Research Design Formulation
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.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS