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2
2010 Calculus #2: Differential Equation
2010 Calculus #2: Differential Equation
Source:
July 15, 2012
calculus
function
derivative
Problem Statement
Let
f
f
f
be a function such that
f
(
0
)
=
1
f(0)=1
f
(
0
)
=
1
,
f
′
(
0
)
=
2
f^\prime (0)=2
f
′
(
0
)
=
2
, and
f
′
′
(
t
)
=
4
f
′
(
t
)
−
3
f
(
t
)
+
1
f^{\prime\prime}(t)=4f^\prime(t)-3f(t)+1
f
′′
(
t
)
=
4
f
′
(
t
)
−
3
f
(
t
)
+
1
for all
t
t
t
. Compute the
4
4
4
th derivative of
f
f
f
, evaluated at
0
0
0
.
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