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Arnold's Trivium
1991 Arnold's Trivium
21
Problem 21
Problem 21
Source:
July 1, 2010
calculus
derivative
integration
Problem Statement
Find the derivative of the solution of the equation
x
¨
=
x
˙
2
+
x
3
\ddot{x} = \dot{x}^2 + x^3
x
¨
=
x
˙
2
+
x
3
with initial condition
x
(
0
)
=
0
x(0) = 0
x
(
0
)
=
0
,
x
˙
(
0
)
=
A
\dot{x}(0) = A
x
˙
(
0
)
=
A
with respect to
A
A
A
for
A
=
0
A = 0
A
=
0
.
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