1) Find the Solution. a) (y" - 5 y² + 4y = 0 y(0)=4 5) 4'(0) = 0 " 4" "y" + "y' 4(1) = 5 y' (1)=10 + c) ་་ 34" + y² - 9₁ = 0 y (10) = 0 y' (10)=0 My = 0 ¿) y" + 10y' 10y' + 125y y(0) = e = 0
1) Find the Solution. a) (y" - 5 y² + 4y = 0 y(0)=4 5) 4'(0) = 0 " 4" "y" + "y' 4(1) = 5 y' (1)=10 + c) ་་ 34" + y² - 9₁ = 0 y (10) = 0 y' (10)=0 My = 0 ¿) y" + 10y' 10y' + 125y y(0) = e = 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:1) Find the Solution.
a) (y" - 5 y ' + 4y = 0
4(0)=4
5)
༧
་་
4'(0) = 0
'"y" + "y'
4(1)
= 5
4'11)=10
+
។។
c)
= 0
34"
4(10)
+
y' - 9₁ = 0
= 0
y' (10)=0
y" + 10y'
Y(0)
= e
y' (0) = 2e
+
125y
= 0
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