Homework Help is Here – Start Your Trial Now!
Math
Calculus
Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" = 7 - 4 y' y''' = 4 y" y4 = 4 y'"" Use the initial value "y(0) = 6" to find the value of "y'(0)", "y"(0)", "y"(0)", and "y (0)", then plug them into the Taylor Series Polynomial formula. - 24 x! + - 96 x2 - 1536 -384 (A) y(x) 0! + +... | 1! 2! 3! 4! 6 y(x) -3 x! -3 x2 + + 2! 4 x* + 4! B x3 + - ... O! 1! 3! 6 y(x) = O! 18 x! -65 x2 + - 260 x3 + 3! 1040 x4 ... 1! 2! 4! 6. y(x) O! - 73 r2 - 292 x3 + 3! 22 - 1168 D 1! 2! 4! 6 412 x + 1648 x* + 4! -24 (E y(x) = O! x' + 2! 103 x2 + ... 3! 6 - 17 75 300 x + 1200 (F) y(x) x + r2 +... | O! 1! 2! 3! 4! it

Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" = 7 - 4 y' y''' = 4 y" y4 = 4 y'"" Use the initial value "y(0) = 6" to find the value of "y'(0)", "y"(0)", "y"(0)", and "y (0)", then plug them into the Taylor Series Polynomial formula. - 24 x! + - 96 x2 - 1536 -384 (A) y(x) 0! + +... | 1! 2! 3! 4! 6 y(x) -3 x! -3 x2 + + 2! 4 x* + 4! B x3 + - ... O! 1! 3! 6 y(x) = O! 18 x! -65 x2 + - 260 x3 + 3! 1040 x4 ... 1! 2! 4! 6. y(x) O! - 73 r2 - 292 x3 + 3! 22 - 1168 D 1! 2! 4! 6 412 x + 1648 x* + 4! -24 (E y(x) = O! x' + 2! 103 x2 + ... 3! 6 - 17 75 300 x + 1200 (F) y(x) x + r2 +... | O! 1! 2! 3! 4! it

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

10

Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" = 7 - 4 y' y'' = 4 y" y4 = 4 y'"" Use the initial value "y(0) = 6" to find the value of "y'(0)", "y"(0)", "y"(0)", and "y (0)", then plug them into the Taylor Series Polynomial formula. - 24 x! 1! - 96 x2 - 1536 -384 (A) y(x) 0! I* +... | 2! 3! 4! B y(x) -3 x + 1! -3 x2 + 2! 4 x* + 4! x + - ... O! 3! 6 y(x) = O! -65 x2 + - 260 x + 18 1040 x4 ... 1! 2! 3! 4! 6. x0 O! - 73 r2 - 292 x3 + 3! - 1168 D y(x) 22 + 1! D 2! 4! 6 -24 1648 (E y(x) = O! x! + 2! 103 x2 + 412 x + ... 3! 4! 6 - 17 75 300 x + 1200 (F) y(x) x' + r2 +... | 0! 1! 2! 3! 4! +
Transcribed Image Text:Given the differential equation y' =7x - 4y and y (0) = 6 and its next few implicit derivatives y" = 7 - 4 y' y'' = 4 y" y4 = 4 y'"" Use the initial value "y(0) = 6" to find the value of "y'(0)", "y"(0)", "y"(0)", and "y (0)", then plug them into the Taylor Series Polynomial formula. - 24 x! 1! - 96 x2 - 1536 -384 (A) y(x) 0! I* +... | 2! 3! 4! B y(x) -3 x + 1! -3 x2 + 2! 4 x* + 4! x + - ... O! 3! 6 y(x) = O! -65 x2 + - 260 x + 18 1040 x4 ... 1! 2! 3! 4! 6. x0 O! - 73 r2 - 292 x3 + 3! - 1168 D y(x) 22 + 1! D 2! 4! 6 -24 1648 (E y(x) = O! x! + 2! 103 x2 + 412 x + ... 3! 4! 6 - 17 75 300 x + 1200 (F) y(x) x' + r2 +... | 0! 1! 2! 3! 4! +
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS