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Putnam
1958 November Putnam
A3
Putnam 1958 November A3
Putnam 1958 November A3
Source: Putnam 1958 November
July 19, 2022
Putnam
differential equation
Problem Statement
Under the assumption that the following set of relations has a unique solution for
u
(
t
)
,
u(t),
u
(
t
)
,
determine it.
d
u
(
t
)
d
t
=
u
(
t
)
+
∫
0
t
u
(
s
)
d
s
,
u
(
0
)
=
1.
\frac{d u(t) }{dt} = u(t) + \int_{0}^{t} u(s)\, ds, \;\;\; u(0)=1.
d
t
d
u
(
t
)
=
u
(
t
)
+
∫
0
t
u
(
s
)
d
s
,
u
(
0
)
=
1.
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