Calculus of variations
Example
Find the extremal of
Ze1xy^02
+yy^0 dx,y( 1 )= 0 ,y(e)= 1.The EulerñLagrange equation isy^0 =d
dxx 2 y^0 +y= 2 y^0 +x 2 y^00 +y^0
0 = y^0 +xy^00.
greg delong
(Greg DeLong)
#1
Find the extremal of
Ze1xy^0+yy^0 dx,y( 1 )= 0 ,y(e)= 1.The EulerñLagrange equation isy^0 =d
dxx 2 y^0 +y= 2 y^0 +x 2 y^00 +y^0
0 = y^0 +xy^00.