Problems Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution integral. y ′ ′ − a 2 y = f ( t ) , y ( 0 ) = α , y ′ ( 0 ) = β , where a , α , and β are constants and a ≠ 0 .
Problems Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution integral. y ′ ′ − a 2 y = f ( t ) , y ( 0 ) = α , y ′ ( 0 ) = β , where a , α , and β are constants and a ≠ 0 .
Solution Summary: The author explains the initial value problem y(t) by Laplace transforms.
Problems 26-32, solve the given initial-value problem up to the evaluation of a convolution integral.
y
′
′
−
a
2
y
=
f
(
t
)
,
y
(
0
)
=
α
,
y
′
(
0
)
=
β
, where
a
,
α
, and
β
are constants and
a
≠
0
.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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