19. x-dy + 2xy dx = 0; y = 1 X 2
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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Can someone please help me answer these question .I need 19
Transcribed Image Text:In Problems 11-40 verify that the indicated function is a
differential equation. Where appropriate, c₁ and C2 denote
(11. 2y' + y = 0; y = e-x/2
12. y' + 4y =
dy
dx
13.
dy
dt
15. y' = 25+ y²; y = 5 tan 5x
dy
dx
14.
-
- 2y = e³x; y = e³x + 10e²x
16.
+ 20y = 24; y = - e-20t
y = (√x + ₁)², x > 0, c₁ > 0
cos x + 10e-*
17. y' + y = sin x; y = sin x -
18. 2xy dx + (x² + 2y) dy = 0;
19. x² dy + 2xy dx = 0; y =
20. (y')³ + xy' = y; y = x + 1
21. y = 2xy + y(y')²; y² = c₁(x + 1/ c₁)
x²y + y² = c₁
1
.2
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