1) Find the Solution. a) (y" - 5y' - 4y = 0 4(0)=4 4'(0)=0 b) Y" + '4y' y(1) = 5 y' (1)=10 + My = 0 c) 3y" + y² - 9y=0 y' 4(10) = 0 y' (10)=0 ¿) y" + 10y' + 125y 4(0)=e = 0 y' (0) = 2e
1) Find the Solution. a) (y" - 5y' - 4y = 0 4(0)=4 4'(0)=0 b) Y" + '4y' y(1) = 5 y' (1)=10 + My = 0 c) 3y" + y² - 9y=0 y' 4(10) = 0 y' (10)=0 ¿) y" + 10y' + 125y 4(0)=e = 0 y' (0) = 2e
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:1) Find the Solution.
a) (y" - 5 y² - 4y = 0
4(0)=4
(4·(0)=0
b)
"y"
+
4y' + 4y
y (1) = 5
y' (1)=10
c)
{
34"
+
y' - 9y
= 0
y (10) = 0
y' (10)=0
་་
y" + 10y' + 125y = 0
4(0)=0
y' (0) = 2e
= 0
¿)
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