We have found the following Wronskians. W = −e-³x; W₁ = −e-²x (4 + ex)-¹; W₂ = e¯x(4+ e*)-¹ Р We want to find functions u₁(x) and u₂(x) such that yp = U₁₁ + U₂Y₂ is a particular solution. We can find the derivatives of these functions as follows. 4₁' = 4₂' = W1 W -e-2x(4+ ex)-¹ -e-3x W₂ M

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
We have found the following Wronskians.
W = −e-³x; W₁ = −e¯²×(4 + eX)−¹; W₂ = e¯X(4 + e*)-¹
We want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁+U₂Y₂ is a particular solution. We can find the
derivatives of these functions as follows.
U₁' =
4₂'
=
||
=
=
W₁
W
-e-2x(4+ e*)-1
-e
-3x
W₂
W
e-x(4+ e*)-1
-e-3x
Transcribed Image Text:We have found the following Wronskians. W = −e-³x; W₁ = −e¯²×(4 + eX)−¹; W₂ = e¯X(4 + e*)-¹ We want to find functions u₁(x) and u₂(x) such that yp = U₁Y₁+U₂Y₂ is a particular solution. We can find the derivatives of these functions as follows. U₁' = 4₂' = || = = W₁ W -e-2x(4+ e*)-1 -e -3x W₂ W e-x(4+ e*)-1 -e-3x
Expert Solution
steps

Step by step

Solved in 8 steps with 46 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning