Use method of Laplace Transforms. y"-6y +13y = 0, y(0) = 1, y (0) = -3.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Laplace table:
Inverse Laplace table:
f(t)
tn
eat f(t)
sin at
cos at
y' (t)
y"(t)
F(s)
1/sn
F(sa)
F(s) = L[ƒ(t)]
n!/sn+1
F(sa)
1/(s² + a²)
s/(s² + a²)
a/(s² + a²)
s/(s² + a²)
SY (s)- y(0)
s²Y(s) — sy(0) — y′(0)
f(t) = L-¹[F(s)]
t"-1/(n − 1)!
eat f(t)
(1/a) sin at
cos at
Transcribed Image Text:Laplace table: Inverse Laplace table: f(t) tn eat f(t) sin at cos at y' (t) y"(t) F(s) 1/sn F(sa) F(s) = L[ƒ(t)] n!/sn+1 F(sa) 1/(s² + a²) s/(s² + a²) a/(s² + a²) s/(s² + a²) SY (s)- y(0) s²Y(s) — sy(0) — y′(0) f(t) = L-¹[F(s)] t"-1/(n − 1)! eat f(t) (1/a) sin at cos at
Use method of Laplace Transforms.
y"-6y + 13y = 0,
y(0) = 1,
y (0) = -3.
Transcribed Image Text:Use method of Laplace Transforms. y"-6y + 13y = 0, y(0) = 1, y (0) = -3.
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