Given the differential equation y" - 2y' - 8y = 5x e3x The General Solution to its Particular Solution is 'p = [Ax + B]e3x Find the values for A and B by 1. Finding the first and second derivatives of the particular solution "yP' " and "yp" ". 2. Plug these derivatives into the original differential equation for " y" " and "y'". 11 3. Use the resulting equation to find the value of A and B. A = - 1 A B = 0 A = B - 15 B 64 A = B = 9 A = - 1 (D B A = -3 E B = 2 A = 8 F B = 2

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

q19

Given the differential equation
y" - 2y' - 8y = 5x e3x
The General Solution to its Particular Solution is
Yp = [Ax + B]e3*
Find the values for A and B by
1. Finding the first and second derivatives of the particular solution "yP' " and "yp" ".
2. Plug these derivatives into the original differential equation for " y" " and "y'".
11
3. Use the resulting equation to find the value of A and B.
A = - 1
A
B = 0
A =
B)
- 15
B
64
A =
B = 9
A = - 1
(D
)
B
A = -3
E
B = 2
A = 8
F
B = 2
Transcribed Image Text:Given the differential equation y" - 2y' - 8y = 5x e3x The General Solution to its Particular Solution is Yp = [Ax + B]e3* Find the values for A and B by 1. Finding the first and second derivatives of the particular solution "yP' " and "yp" ". 2. Plug these derivatives into the original differential equation for " y" " and "y'". 11 3. Use the resulting equation to find the value of A and B. A = - 1 A B = 0 A = B) - 15 B 64 A = B = 9 A = - 1 (D ) B A = -3 E B = 2 A = 8 F B = 2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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