MathDB
Problems
Contests
Undergraduate contests
Arnold's Trivium
1991 Arnold's Trivium
20
Problem 20
Problem 20
Source:
July 1, 2010
calculus
derivative
parameterization
function
inequalities
Problem Statement
Find the derivative of the solution of the equation
x
¨
=
x
+
A
x
˙
2
\ddot{x} =x + A\dot{x}^2
x
¨
=
x
+
A
x
˙
2
, with initial conditions
x
(
0
)
=
1
x(0) = 1
x
(
0
)
=
1
,
x
˙
(
0
)
=
0
\dot{x}(0) = 0
x
˙
(
0
)
=
0
, with respect to the parameter
A
A
A
for
A
=
0
A = 0
A
=
0
.
Back to Problems
View on AoPS