Find an extremum of the functional \(J [ f ] = \int _ { 0 } ^ { 1 } d x ( 3 6 0 x ^ { 2 } f - f ^ { \prime \prime 2 } )\) in a class of functions \(f \in C ^ { 3 } [ 0 , 1 ]\) satisfying the boundary conditions \(f ( 0 ) = 0 , f ^ { \prime } ( 0 ) = 1\) \(f ( 1 ) = 0 , f ^ { \prime } ( 1 ) = 2 . 5\)
Extremal of $\int_0^1(360x^2f-f''^2)\,dx$ with clamped endpoints
P-TRIV-VP05
- Area
- Prelim
- Status
- draft