(a) y" + 4y = t² + 3et, (b) y" - 2y + y = tet +4, (c) y" - 2y + y = 3te²t, y(0) = 1, (d) y" + 4y = 3 sin 2t, y(0) = 2, (e) y"" +4y=t, y(0) = 0, y'(0) = 2 y(0) = 1, y'(0) = 1 y'(0) = 0 y'(0) = -1 y(0) = 0, y'(0) = 0, y" (0) = 1
(a) y" + 4y = t² + 3et, (b) y" - 2y + y = tet +4, (c) y" - 2y + y = 3te²t, y(0) = 1, (d) y" + 4y = 3 sin 2t, y(0) = 2, (e) y"" +4y=t, y(0) = 0, y'(0) = 2 y(0) = 1, y'(0) = 1 y'(0) = 0 y'(0) = -1 y(0) = 0, y'(0) = 0, y" (0) = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Part C needed
Needed to be solved correctly in 1 hour and get the thumbs up please show neat and clean work for it and check answer by taking first and second derivative of equation and plugging it into the given equation
![2
In each of the following problems, use the method of undetermined coefficients
to find the solution of the given initial value problem.
(a) y" + 4y = t² + 3et, y(0) = 0,
(b) y" - 2y + y = te + 4,
y(0) = 1,
(c) y" - 2y + y = 3te²t,
y(0) = 1,
y(0) =
1,
(d) y" + 4y= 3 sin 2t, y(0) = 2,
y(0) = 2,
(e) y"" +4y=t,
y(0) = 0,
y'(0) = 2
y'(0) = 1
y'(0) = 0
y'(0) = -1
y'(0) = 0,
y"(0) = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e9c2f78-47b3-4241-a668-8f909847ed46%2Fee4ed97c-9e75-48ea-8953-6352fb04c8fb%2F8hsh6y6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
In each of the following problems, use the method of undetermined coefficients
to find the solution of the given initial value problem.
(a) y" + 4y = t² + 3et, y(0) = 0,
(b) y" - 2y + y = te + 4,
y(0) = 1,
(c) y" - 2y + y = 3te²t,
y(0) = 1,
y(0) =
1,
(d) y" + 4y= 3 sin 2t, y(0) = 2,
y(0) = 2,
(e) y"" +4y=t,
y(0) = 0,
y'(0) = 2
y'(0) = 1
y'(0) = 0
y'(0) = -1
y'(0) = 0,
y"(0) = 1
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