y'(0) = 1. y'(0) = -0.5 y'(0) = 0. y'(0) = 7. '0) = 0. )) = 4. )) = 2. y₂ (0)=0. x: (0)1 23) 4y"-8y +5y=0, y(0) = 0. ²+125-0 y(0) = 1, 25) y + y 2 cos(t). y(0) = 2. 26) -4y+3y=0, y(0) = 3. Invers laplace 30) ₁-2 Y₂ = ₁ y₁ (0) = 1, 71) 2000(1) W (O) 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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23) 4y"-8y +5y=0,
y(0) = 0.
²+1 25-0
y(0) = 1,
y(0) = 2.
25) y + y 2 cos(t).
-4y+3y=0,
26)
y(0) = 3.
Invers laplace
30)
₁-2 Y₂ = ₁+
₁ (0)=1,
31)
+ y 2 cos(t), y + y = 0,
y (0)=0,
y'(0) = 1.
y'(0) = -0.5
y'(0) = 0.
y'(0) = 7.
'0) = 0.
)) = 4.
3) = 2.
y₂ (0)=0.
y, (0) 1.
Transcribed Image Text:23) 4y"-8y +5y=0, y(0) = 0. ²+1 25-0 y(0) = 1, y(0) = 2. 25) y + y 2 cos(t). -4y+3y=0, 26) y(0) = 3. Invers laplace 30) ₁-2 Y₂ = ₁+ ₁ (0)=1, 31) + y 2 cos(t), y + y = 0, y (0)=0, y'(0) = 1. y'(0) = -0.5 y'(0) = 0. y'(0) = 7. '0) = 0. )) = 4. 3) = 2. y₂ (0)=0. y, (0) 1.
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