[理工] [工數]-級數解..
λ
y'' + siny = 0 , y(0)= --- , y'(0) = 0 by power series ..
6
λ 1 2 √3 4
y = --- - ---x + -----x + ....
6 4 94
這一題..
1 3 1 5
我知道 sinx = x - ---x + ---x - ----
3! 5!
算過 y'' + sinx*y = 0 的題目 沒問題
但是這一題要怎麼解阿..
我的想法..
8 n-2 1 3 1 5
M n(n-1)Cn x + (y - ---y + -----x - ---) = 0
n=2 6 120
就卡住了..
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