In each of Problems 14 through 21 , express the total response of the given initial value problem using a convolution integral to represent the forced response: y ' ' + y ' + 1.25 y = 1 − u π ( t ) ; y ( 0 ) = 1 , y ' ( 0 ) = − 1
In each of Problems 14 through 21 , express the total response of the given initial value problem using a convolution integral to represent the forced response: y ' ' + y ' + 1.25 y = 1 − u π ( t ) ; y ( 0 ) = 1 , y ' ( 0 ) = − 1
In each of Problems
14
through
21
, express the total response of the given initial value problem using a convolution integral to represent the forced response:
y
'
'
+
y
'
+
1.25
y
=
1
−
u
π
(
t
)
;
y
(
0
)
=
1
,
y
'
(
0
)
=
−
1
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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