Mathematics for Economists

(Greg DeLong) #1

Calculus of variations


Using this

2 yy^00 +


y^0

 2


= 0


2 ydu
dx

+



y^0

 2


= 0


2 y(x)

d
dyu(y(x))

d
dxy(x)+u

(^2) (x) = 0
2 y(x) d
dy
u(y(x))u(y(x))+u^2 (y(x)) = 0.

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