1. Find the general solution of the following DE: c) y"-9y = 0 d) y"-6у'+ 9у 3D0 a) y"+3y'+ 2y = 0 b) y" + 4y' = 0 %3D
1. Find the general solution of the following DE: c) y"-9y = 0 d) y"-6у'+ 9у 3D0 a) y"+3y'+ 2y = 0 b) y" + 4y' = 0 %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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Transcribed Image Text:PROBLEM SET 1
1. Find the general solution of the following DE:
а) у" + Зу'+ 2y - 0
c) y" - 9y = 0
b) y" + 4y' = 0
d) y"- бу'+ 9у %3D0
%3D
2. Solve the following initial value problems:
У (0) — 9
y'(r) = 3
a) y" - 9y = 0,
y(0) = 5,
b) y" +9y = 0,
y(T) = -2,
У(0) %- 3,
У (0) %3 10
c) y" - 4y'+4y = 0,
3. Solve the following boundary value problems:
а) у"-16у %3D 0,
y(0) = 5,
y() = 5e
b) y" - 2y' +2y = 0,
y(0) = -3,
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