2. y" - y' - 2y = 0 : y(0) = -2, y'(0) = 5
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
please answer 2 and 5
Transcribed Image Text:In Problems 1-14, solve the given initial value probiem
using the method of Laplace transforms.
1. у" — 2у + Sy %3D0;
v(0) = 2.
2. y" - y' - 2y = 0 :
y(0) = -2,
3. y" + 6y' + 9y = 0 ;
y(0) = -1,
4. y" + 6y' + 5y = 12e' ;
y(0) = -1
5. w" + w = ² + 2 ;
w(0) = 1
6. y" - 4y' + 5y = 4e* :
y(0) = 2.
7. у" — 7y' + 10у %3D 9 сos t + 7 sin { ;
y(0) = 5,
y'(0) = 4
y'(0) = 5
y'(0) = 6
y'(0) = 7
w'(0) = -1
%3D
%3D
y'(0) = 7
%3D
y'(0) = -4
%3D
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