14. 2xy + У 15. y' + х +1 2, у (0) - 2 %3D %3D

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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Number 15 solve the initial value problem
3
Figure 3.8
dy
11.
+e'y = e'
dt
nd
dr
12.
=r tan 0 + sin 0,0 < 0 < /2
de
In Exercises 13-18, solve the initial value problems.
13. y' +4y = 2, y(1) = 2
14. 2xy' +y = 1, y(4) = 0
y
15. y'+
= 2, y(0) = 2
%3D
x +1
16. y' + 2xy = 1, y(0) = -1
17. y' = cos 2x - y/x, y(n/2) = 0
18. x(x + 1)y' =2+ y, y(1) = 0
%3D
Transcribed Image Text:3 Figure 3.8 dy 11. +e'y = e' dt nd dr 12. =r tan 0 + sin 0,0 < 0 < /2 de In Exercises 13-18, solve the initial value problems. 13. y' +4y = 2, y(1) = 2 14. 2xy' +y = 1, y(4) = 0 y 15. y'+ = 2, y(0) = 2 %3D x +1 16. y' + 2xy = 1, y(0) = -1 17. y' = cos 2x - y/x, y(n/2) = 0 18. x(x + 1)y' =2+ y, y(1) = 0 %3D
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