The first part of this coursework will allow us to use Python to ex- plore difference equations. We'll model a homogeneous difference equa- tion using its list of negated non-leading coefficients, so [2, 4] represents the equation: n+2 = 2xn + 4xn+1. We'll also model the initial condi- tions as a list, so [1, 2] represents the initial conditions xo = 1, x₁ = 2. (Notice that the two lists need to have the same length.) A1 Write a function DifferenceSequence (Equation, Initial Conditions, Number Of Terms) which takes as inputs lists representing a ho- mogeneous linear difference equation, and some corresponding initial conditions, and an integer n representing a (large) num- ber of terms, and outputs a list of the first n terms of the solution: [0, 1,...,xn-1]. Hint: create a solution list which consists of the initial con- ditions. Set up a loop whose length is the number of terms you need to calculate. At each stage compute the new term by tak- ing the dot product of the coefficients and last few terms in the solution list, and then append it to the end of the solution list.
The first part of this coursework will allow us to use Python to ex- plore difference equations. We'll model a homogeneous difference equa- tion using its list of negated non-leading coefficients, so [2, 4] represents the equation: n+2 = 2xn + 4xn+1. We'll also model the initial condi- tions as a list, so [1, 2] represents the initial conditions xo = 1, x₁ = 2. (Notice that the two lists need to have the same length.) A1 Write a function DifferenceSequence (Equation, Initial Conditions, Number Of Terms) which takes as inputs lists representing a ho- mogeneous linear difference equation, and some corresponding initial conditions, and an integer n representing a (large) num- ber of terms, and outputs a list of the first n terms of the solution: [0, 1,...,xn-1]. Hint: create a solution list which consists of the initial con- ditions. Set up a loop whose length is the number of terms you need to calculate. At each stage compute the new term by tak- ing the dot product of the coefficients and last few terms in the solution list, and then append it to the end of the solution list.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![The first part of this coursework will allow us to use Python to ex-
plore difference equations. We'll model a homogeneous difference equa-
tion using its list of negated non-leading coefficients, so [2, 4] represents
the equation: n+2 = 2Xn + 4Xn+1. We'll also model the initial condi-
tions as a list, so [1, 2] represents the initial conditions xo = 1, x₁ = 2.
(Notice that the two lists need to have the same length.)
A1 Write a function DifferenceSequence (Equation, Initial Conditions,
Number Of Terms) which takes as inputs lists representing a ho-
mogeneous linear difference equation, and some corresponding
initial conditions, and an integer n representing a (large) num-
ber of terms, and outputs a list of the first n terms of the
solution: [0, 1,...,xn-1].
Hint: create a solution list which consists of the initial con-
ditions. Set up a loop whose length is the number of terms you
need to calculate. At each stage compute the new term by tak-
ing the dot product of the coefficients and last few terms in the
solution list, and then append it to the end of the solution list.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3011c556-643e-4a01-b0e0-55d8cf24eddf%2Fe29077d7-a069-44be-b5eb-a1cf7df0d4a6%2F2z726hq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The first part of this coursework will allow us to use Python to ex-
plore difference equations. We'll model a homogeneous difference equa-
tion using its list of negated non-leading coefficients, so [2, 4] represents
the equation: n+2 = 2Xn + 4Xn+1. We'll also model the initial condi-
tions as a list, so [1, 2] represents the initial conditions xo = 1, x₁ = 2.
(Notice that the two lists need to have the same length.)
A1 Write a function DifferenceSequence (Equation, Initial Conditions,
Number Of Terms) which takes as inputs lists representing a ho-
mogeneous linear difference equation, and some corresponding
initial conditions, and an integer n representing a (large) num-
ber of terms, and outputs a list of the first n terms of the
solution: [0, 1,...,xn-1].
Hint: create a solution list which consists of the initial con-
ditions. Set up a loop whose length is the number of terms you
need to calculate. At each stage compute the new term by tak-
ing the dot product of the coefficients and last few terms in the
solution list, and then append it to the end of the solution list.
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