Mathematics for Economists

Calculus of variations

The EulerñLagrange equation is

 6 xet =

d

dt



 16  8 x



et=

= et( 1 )



 16  8 x



+et



 8 x



Simplifying

x

.

x^3

4 x=^2.

x( 0 )= 8 / 3 ,x( 2 )= 1 / 3.