Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 and y'(0) = - 10 The Specific Solution to its Particular Solution is 112 1564 3375 At this point our General Solution to the original differential equation is 112 1564 y(1) = C,e + C,e 15 225 3375 Find the values for C and C; by 1. Finding the first derivative of the general solution. 2. Plug the initial conditions into the general solution and the derivative of the general solution. 3. Use the resulting system of equations to find C, and C. 97 -7 125
Given the differential equation and its initial conditions y" + 8y' + 15y = 7x? - 10 with y(0) = 4 and y'(0) = - 10 The Specific Solution to its Particular Solution is 112 1564 3375 At this point our General Solution to the original differential equation is 112 1564 y(1) = C,e + C,e 15 225 3375 Find the values for C and C; by 1. Finding the first derivative of the general solution. 2. Plug the initial conditions into the general solution and the derivative of the general solution. 3. Use the resulting system of equations to find C, and C. 97 -7 125
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...
Related questions
Question
q20

Transcribed Image Text:Given the differential equation and its initial conditions
y" + 8y' + 15y = 7x2 - 10 with y(0) = 4 and y'(0) = - 10
The Specific Solution to its Particular Solution is
7
112
1564
15
225
3375
At this point our General Solution to the original differential equation is
112
1564
y(1) = C,e
15
225
3375
Find the values for C and C, by
1. Finding the first derivative of the general solution.
2. Plug the initial conditions into the general solution and the derivative of the general solution.
3. Use the resulting system of equations to find C; and C.
97
27
A
-7
125
-71
19
B
-518
C =
147
86
-8
31
-43
27
312
C,=
125
173
27
(E)
C =
-243
125
17
31
C =
53
Expert Solution

Step 1
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning

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
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning