17. (sin x) y' y cos x - sin 2x, y(π/2) = 2.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please work on number 17 and show all your work on picture, DONT TYPE IT PLEASE!
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![In Problems 16-21, solve the given initial-value problem.
16. y' + 2x−¹y = 4x, y(1) = 2.
17. (sin x) y' - y cos x = sin 2x, y(π/2) = 2.
dx
2
+
dt 4 – t
19. (y − e*)dx+dy=0, y(0) = 1.
20. y' + y = f(x), y(0) = 3, where
{1;
18.
-x = 5, x(0) = 4.
f(x) =
1, if x ≤ 1,
0, if x > 1.
21. y' - 2y = f(x), y(0) = 1, where
= {
1-x,
0,
f(x)
if x < 1,
if x > 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0655393b-8df3-4633-b13c-e0d6983d2306%2F0176854f-dc3f-4088-9189-79a2ba4a662d%2Fr7snnkr_processed.png&w=3840&q=75)
Transcribed Image Text:In Problems 16-21, solve the given initial-value problem.
16. y' + 2x−¹y = 4x, y(1) = 2.
17. (sin x) y' - y cos x = sin 2x, y(π/2) = 2.
dx
2
+
dt 4 – t
19. (y − e*)dx+dy=0, y(0) = 1.
20. y' + y = f(x), y(0) = 3, where
{1;
18.
-x = 5, x(0) = 4.
f(x) =
1, if x ≤ 1,
0, if x > 1.
21. y' - 2y = f(x), y(0) = 1, where
= {
1-x,
0,
f(x)
if x < 1,
if x > 1.
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