1 + y =

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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Question
Upon finding the solution, define the interval at which the function is defined.
1
+ y =-
y2
y(xy³ – 1)
dx
dy
A + y = ty
di
dy
dx
-y = e*y?
(1 + x)y xy
3(1 + ) = 21y(y' – 1)
dt
xy² = y - x, y(1) = 2
%3D
dx
dx
= xy, y(-1) = 1
(x + yel) dx – xes
y dx + x(In x-In y-1) dy = 0, y(1) = e
* dy 0, y(1) = 0
dy
= (x + y + 1)?
dx
dy
tan (x + y)
%3D
dx
dy
= 2 + Vy - 2x + 3
dx
Transcribed Image Text:1 + y =- y2 y(xy³ – 1) dx dy A + y = ty di dy dx -y = e*y? (1 + x)y xy 3(1 + ) = 21y(y' – 1) dt xy² = y - x, y(1) = 2 %3D dx dx = xy, y(-1) = 1 (x + yel) dx – xes y dx + x(In x-In y-1) dy = 0, y(1) = e * dy 0, y(1) = 0 dy = (x + y + 1)? dx dy tan (x + y) %3D dx dy = 2 + Vy - 2x + 3 dx
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