d. ÿ- 4y = 0; e. ü + + 2y = 0: y(0) = 0, y(0)=1; y(0) = 2. v(0) = 0.
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:**Exercise 15**
Solve the following equations and impose the accompanying constraints:
a. \(\ddot{y} + 5\dot{y} + 6y = 0\);
\(y(0) = 2\), \(\dot{y}(0) = 0\).
b. \(\ddot{y} - 4\dot{y} + 4y = 0\);
\(y(0) = 1\), \(\dot{y}(0) = 1\).
c. \(\ddot{y} - \dot{y} = 0\);
\(y(0) = 2\), \(\dot{y}(0) = -2\).
d. \(\ddot{y} - 4y = 0\);
\(y(0) = 0\), \(\dot{y}(0) = 1\).
e. \(\ddot{y} + \dot{y} + 2y = 0\);
\(y(0) = 2\), \(\dot{y}(0) = 0\).
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