Время науки - The Times of Science

Время науки The Times of Science 10 №4 + − (2 3 cos 1 + 2 3 sin 1 ) + (2 4 cos 1 − 2 4 sin 1 ) 1 ( ) = − (2 1 ′ cos 1 + 2 1 ′ sin 1 ) + (2 2 ′ cos 1 − 2 2 ′ sin 1 ) + − (2 3 ′ cos 1 + 2 3 ′ sin 1 ) + (2 4 ′ cos 1 − 2 4 ′ sin 1 ) where 1 = 1 ( 1 ) 2 ′ ( 1 ) , 2 = 1 ( 2 ) 2 ′ ( 2 ) , 3 = 1 ( 3 ) 2 ′ ( 3 ) , 4 = 1 ( 4 ) 2 ′ ( 4 ) 1 = 1 ( 1 ) 2 ′ ( 1 ) , 2 = 1 ( 2 ) 2 ′ ( 2 ) , 3 = 1 ( 3 ) 2 ′ ( 3 ) , 4 = 1 ( 4 ) 2 ′ ( 4 ) 2 ′ = 1 ( 1 ) 2 ′ ( 1 ) , 2 ′ = 1 ( 2 ) 2 ′ ( 2 ) , 3 ′ = 1 ( 3 ) 2 ′ ( 3 ) , 4 ′ = 1 ( 4 ) 2 ′ ( 4 ) 1 ′ = 1 ( 1 ) 2 ′ ( 1 ) , 2 ′ = 1 ( 2 ) 2 ′ ( 2 ) , 3 ′ = 1 ( 3 ) 2 ′ ( 3 ) , 4 ′ = 1 ( 4 ) 2 ′ ( 4 ) The general solution will be of the form (25) with the partial solutions  ( ) and  ( ) also satisfying conditions (26). In the case where the left end is supported and the right end is pinched, to determine the constants 1 , 2 , 3 , 4 , 1 , 2 , 3 , 4 in Eq. (22) and 1 ′ , 2 ′ , 3 ′ , 4 ′ , 1 ′ , 2 ′ , 3 ′ , 4 ′ in Eq. (23), we will use the system of Here 2 , 4 , 3 ′ , 4 ′ and 2 , 4 , 3 ′ , 4 ′ are arbitrary constants. We obtain the full solution of the system of equations according to (25): where  ( ) and  ( ) are partial solutions of equations (10).