(9) (-2r)y = y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Only question nine. Please solve a question quickly
Erercises.
Determine whether the equation is homogeneous, if it is, solve it. If there is an initial value, find the particular
solution satsifying the initial value.
(1) y =
ry +y?
(2) y =
-y(-1) 2
(3) ry' = y - rež
(4) ry' -y = Vr2 + y?
(5) ry' - y = 2y(ln y- In r)
fip
(6) (r2 + y?)
= 5y
dr
y? - 3.ry – 5r2
(7) y =
y(1) = -1
(8) (23 + a?y +ry²)y/ = ry? + 2y
(9) (y - 2r)y' = y
Transcribed Image Text:Erercises. Determine whether the equation is homogeneous, if it is, solve it. If there is an initial value, find the particular solution satsifying the initial value. (1) y = ry +y? (2) y = -y(-1) 2 (3) ry' = y - rež (4) ry' -y = Vr2 + y? (5) ry' - y = 2y(ln y- In r) fip (6) (r2 + y?) = 5y dr y? - 3.ry – 5r2 (7) y = y(1) = -1 (8) (23 + a?y +ry²)y/ = ry? + 2y (9) (y - 2r)y' = y
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