Mathematics for Economists

Optimal control

d

dt

p^2 = d

dt

x^2 , x^2 =p^2 +C.

x^2 = p^2 +C=

(xu)^2

1 +u^2 +C

x^2 +x^2 u^2 = (xu)^2 +C

1 +u^2

x^2 = C

1 +u^2

=C



1 +



x

 2