In Problems 21 and 22 solve the given initial-value problem. 21. r4y dx dy 2ry 3y. y(1) = !
In Problems 21 and 22 solve the given initial-value problem. 21. r4y dx dy 2ry 3y. y(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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Transcribed Image Text:Each DE in Problems 15-22 is a Bernoulli equation.
In Problems 15-20 solve the given differential equation by
using an appropriate substitution.
dy
dy
y= ey
15. x
+.
16.
drp
dp
17.-
dy
y(xy- 1)
dy
– (1 + x)y = xy
18. x
dx
19. 7
dr
+ y = ty
20. 3(1 + 7)
dy
= 2ry(y' – 1)
In Problems 21 and 22 solve the given initial-value problem.
dy
2- 2ry = 3y, y(1) =
21. x
%3D
22. y/2 dy
+ y2 = 1, y(0) = 4
G
近
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