r- 24. y" +9y = 0; y(0) 25. y"-2y' + 2y = 0; 26. y" - 2y' + y = 0; 27. y"" - 4y" + 7y' - 6y=0; = 1, y'(0) = 1 y(π) = e", y' (T) = 0 y(0) = 1, y'(0) = -2 y(0) = 1, y'(0) = 0, y" (0) = 0 I 28. To see the effect of changing the parameter b in the initial value problem 30 y" + by' + 4y = 0; y(0) = 1, y'(0) = 0, solve the problem for b = 5, 4, and 2 and sketch the solutions. 29. Find a general solution to the following higher-orde equations. (a) y""y"+y' + 3y = 0 (b) y"" + 2y" + 5y' - 26y = 0 (c) yiv + 13y" + 36y = 0 Using the representation for e(a+iß)t in (6) verify the dif
r- 24. y" +9y = 0; y(0) 25. y"-2y' + 2y = 0; 26. y" - 2y' + y = 0; 27. y"" - 4y" + 7y' - 6y=0; = 1, y'(0) = 1 y(π) = e", y' (T) = 0 y(0) = 1, y'(0) = -2 y(0) = 1, y'(0) = 0, y" (0) = 0 I 28. To see the effect of changing the parameter b in the initial value problem 30 y" + by' + 4y = 0; y(0) = 1, y'(0) = 0, solve the problem for b = 5, 4, and 2 and sketch the solutions. 29. Find a general solution to the following higher-orde equations. (a) y""y"+y' + 3y = 0 (b) y"" + 2y" + 5y' - 26y = 0 (c) yiv + 13y" + 36y = 0 Using the representation for e(a+iß)t in (6) verify the dif
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
Solve initial value problem
#26
![r-
24. y" +9y = 0; y(0)
25. y" - 2y' + 2y = 0;
26. y" - 2y' + y = 0;
27. y"" - 4y" + 7y' - 6y=0;
= 1, y'(0) = 1
y(T) = e", y' (T) = 0
y(0) = 1, y'(0) = -2
y(0) = 1, y'(0) = 0,
y" (0) = 0
I
28. To see the effect of changing the parameter b in the initial
value problem
y" + by' + 4y = 0; y(0) = 1, y'(0) = 0,
solve the problem for b = 5, 4, and 2 and sketch the
solutions.
29. Find a general solution to the following higher-orde
equations.
30
(a) y""y"+y' + 3y = 0
(b) y"" + 2y" + 5y' - 26y = 0
(c) yiv + 13y" + 36y = 0
Using the representation for e(a+iß)t in (6) verify the dif](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe38cc688-b545-4be2-9b11-6e87392e9973%2F9514864e-5fc4-47da-8e3b-5fb83aab2361%2Fgvf91aa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:r-
24. y" +9y = 0; y(0)
25. y" - 2y' + 2y = 0;
26. y" - 2y' + y = 0;
27. y"" - 4y" + 7y' - 6y=0;
= 1, y'(0) = 1
y(T) = e", y' (T) = 0
y(0) = 1, y'(0) = -2
y(0) = 1, y'(0) = 0,
y" (0) = 0
I
28. To see the effect of changing the parameter b in the initial
value problem
y" + by' + 4y = 0; y(0) = 1, y'(0) = 0,
solve the problem for b = 5, 4, and 2 and sketch the
solutions.
29. Find a general solution to the following higher-orde
equations.
30
(a) y""y"+y' + 3y = 0
(b) y"" + 2y" + 5y' - 26y = 0
(c) yiv + 13y" + 36y = 0
Using the representation for e(a+iß)t in (6) verify the dif
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