Find the general solution for the differential equation: y" - 4y = 1+ 65e'cos(2t) 1- 2- y" - 8y' + 16y = 6xe* 3- y" +9y = sec2(3x) 4- y" - 3y' + 2y = 2t2 + e' + 2te + 4et 5- y" + 4y = tan(2t) + e3t 6- y" + 4y = cot(t) 7- y" – 2y' +y = 8- y" - 2y' + y = 1+x2 9x y" – 9y 9- 3ỹ + ỹ – 2y = 2cos(x) + 3e* 10- y" - y' = e* + e*+ 11-

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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Find the general solution for the differential equation:
1-
y" - 4y = 1+ 65e'cos(2t)
2-
y" - 8y' + 16y = 6xe**
3-
y" +9y sec2(3x)
y" - 3y' + 2y = 2t2 + e' + 2te' +4e"
4-
y" + 4y = tan(2t)+ e3t
6-
y" + 4y = cot(t)
7-
y" - 2y' +y =2
8-
y" - 2y' +y =
1+x2
y" - 9y = x
10-
3ỹ + ỹ – 2y = 2cos(x) + 3e*
y" - y' = e* + e* + x?
11-
Transcribed Image Text:Find the general solution for the differential equation: 1- y" - 4y = 1+ 65e'cos(2t) 2- y" - 8y' + 16y = 6xe** 3- y" +9y sec2(3x) y" - 3y' + 2y = 2t2 + e' + 2te' +4e" 4- y" + 4y = tan(2t)+ e3t 6- y" + 4y = cot(t) 7- y" - 2y' +y =2 8- y" - 2y' +y = 1+x2 y" - 9y = x 10- 3ỹ + ỹ – 2y = 2cos(x) + 3e* y" - y' = e* + e* + x? 11-
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