Differential Equations Lecture Work Solutions 73

Differential Equations Lecture Work Solutions 73 - (nAn bn1...

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( nA n b n 1 nB n b n 1 ) b n = 1 π Z 2 π 0 g ( θ )s in nθ dθ δ n Solve for A n a n , B n a n : ( nA n a n 1 nB n a n 1 ) a n = α n ( nA n b n 1 nB n b n 1 ) a n = γ n We have A n a n = α n b n 1 γ n a n 1 n ( a n 1 b n 1 b n 1 a n 1 ) B n a n = α n b n 1 γ n a n 1 n ( a n 1 b n 1 b n 1 a n 1 ) Solve for A n b n , B n b n : ( nA n a n 1 nB n a n 1 ) b n = β n ( nA n b n 1 nB n b n 1 ) b n = δ n We have A n b n = β n b n 1 δ n a n 1 n ( a n 1 b n 1 b n 1 a n 1 ) B n b n = β n b n 1 δ n a n 1 n ( a n 1 b n 1 b n 1 a n 1 ) There are two equations for B 0 a 0 :
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