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1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general solution to the homo- geneous problem, and a particular solution to the inhomoge- neous problem.) (a) y" + 9y = 18. (b) y" + y' – 6y = 36x. (c) y" 20x³. (d) y" – 8y' + 20y = 100x² – 169xe". - (e) y" – y' – y = exp(5æ). (f) y" – 2y' + 5y = e* sin(2x). |

1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general solution to the homo- geneous problem, and a particular solution to the inhomoge- neous problem.) (a) y" + 9y = 18. (b) y" + y' – 6y = 36x. (c) y" 20x³. (d) y" – 8y' + 20y = 100x² – 169xe". - (e) y" – y' – y = exp(5æ). (f) y" – 2y' + 5y = e* sin(2x). |

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...
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1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general solution to the homo- geneous problem, and a particular solution to the inhomoge- neous problem.) (a) y" + 9y = 18. (b) y" + y' – 6y = 36x. (c) y" = 20x³. (d) y" – 8y' + 20y = 100x? – 169xe". (e) y" – y' – y = exp(5x). (f) y" – 2y' + 5y = e" sin(2x).
Transcribed Image Text:1. Find the general solution of these constant coefficient linear inhomoge- neous ODES, using the method of undetermined coefficients. (Note: you will need to find both the general solution to the homo- geneous problem, and a particular solution to the inhomoge- neous problem.) (a) y" + 9y = 18. (b) y" + y' – 6y = 36x. (c) y" = 20x³. (d) y" – 8y' + 20y = 100x? – 169xe". (e) y" – y' – y = exp(5x). (f) y" – 2y' + 5y = e" sin(2x).
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