17. (sin x) y' y cos x - sin 2x, y(π/2) = 2.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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Can you please work on number 17 and show all your work on picture, DONT TYPE IT PLEASE!
Explain step by step.
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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