五、小结(本章习题课) z"+Z=0 1M+21=0令D2④y+nb=0 λ=0 R+DR+(2]R=0 若入1>0,令k2=1- PR+PR+(k'p'-nR=O x=kp,y=R(p)n→V 若p2R"+pR-(p2+n2)R=0→ y+xy+(x2v)y=0/排 x =4J()+BN(x)N=?
五、小结(本章习题课 ) 1 ( ) ( ) ( ) 2 2 2 2 0 0 0 ( - ) - 0 u R j Z z Z Z u u n R R n R r m l r r l m r = F ì ¢¢+ = ïï D + = ¾¾¾¾¾¾¾®íF¢¢+ F = ï ¢¢+ ¢+ = é ù îï ë û 令 λ= 0 2 - 0, - 2 2 2 2 , ( ), ( - ) 0 k x k y R n R R k n R l m l m r r n r r r > = = = ® ¾若 令 ¾¾¾¾¾® ¢¢ ¢ + + = ¾¾¾¾¾¾® 2 - 0, - 2 2 2 2 -( ) 0 k R R k n R l m l m r r r < = ¾若 令 ¾¾¾¾¾® ¢¢ ¢ + + = ® 2 2 2 5 ( ) ( - ) 0 ( ) ( ), ? y J x x y xy x y y A J x B N x N n n n n n n ì = ¢¢ ¢ + + = í = + = î 特 通
①"+m2=0 1 d[. dO nO|+|l(+1) ⊙=0 sing del de」 sin 0 2.△M+M=0如F+2R+k(+]R=0 Vx=kr,y=R() xy+2y5+y-0 丌 待=( x 以上的组合 丌 (x)=14J1(x)=14J(x)= 丌 SInx SInx x 2xv Ix x
2. 2 2 ( ) 2 2 2 2 2 2 0 1 sin ( 1)- 0 sin sin 2 - - ( 1) 0 , ( ) 2 - ( 1 0 0 ) u R r m d d m l l d d r R rR k r l l R x kr y R r x y u u xy x l l y q q q q q l = QF ìF¢¢+ F = ï é ù Q é ù ï + ê ú + Q = ï ê ú ë û ë û ï ï ¾¾¾¾¾®í ¢¢ ¢ + + é ù + = ë û ï ï¯ = = ï ¢¢ ¢ + + é ù + = ë û + î = ï D ï 令 1 2 ( ) ( ) 2 : l l y j x J x x y p + ì ï = = í ï î 特 通 以上的组合 1 1 1 2 2 2 sin ( ) ( ) ( ) - sin 222 x J x J x J x x x x x x x ppp p = = = =