a. Find the Laplace transform of f(t) = t³e7t (using the tables given on Canvas). L {f(t)} = 8 C n di sin (a) f

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Chapter2: Second-order Linear Odes
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c. Using Laplace transformations, solve the differential equation
y(t) =
y"(t) + y(t) = -13,
y (0) = -13,
y' (0) = 6.
Transcribed Image Text:c. Using Laplace transformations, solve the differential equation y(t) = y"(t) + y(t) = -13, y (0) = -13, y' (0) = 6.
a. Find the Laplace transform of f(t) = t³e7t (using the tables given on Canvas).
L {f(t)} =
sin (a)
8
di
∞
C n
b. Find the Inverse Laplace transform of g(s)
L-¹ {g(s)} =
f
...
(s-3)5
P
Transcribed Image Text:a. Find the Laplace transform of f(t) = t³e7t (using the tables given on Canvas). L {f(t)} = sin (a) 8 di ∞ C n b. Find the Inverse Laplace transform of g(s) L-¹ {g(s)} = f ... (s-3)5 P
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