例1解定解问题 x a +4 ht 0<x<L.t>0 L 0 t=0 0 解:考虑相应齐次方程的定解问题 aw a-w 0<x<Lt>r>0 at x=0 f=T L0.8 1 0.6 0.4 0.2 0 x t 0 0.5 1 1.5 2 −1 −0.5 0 0.5 1 n 10 例1 解定解问题： ( ) 2 2 2 0 0 1 , 0 , 0 0 0 ht x x L t u u x a A e x L t t x L u u u − = = =      = + −             = =  =   解：考虑相应齐次方程的定解问题 ( )                = − = =       =   − = = =    h t x x L e L x W A W W x L t x W a t W 1 0 , 0 , 0 0 2 2 2