[微方] 兩題微方級數解
1.Use the method of Forbenius to obtain the general solution of DE
xy''-xy'+7=0 on (0,∞).
∞ n+r
令y= Σc_n*x 代入,然後那個7怎樣都消不掉= ="
n=0
2.Use the following initial value problem
2 2
t y''+ty'+t y=0, y(0)=1, y'(0)=0
2 -0.5
to show the inverse Laplace transform of (s +1) is Bessel function:
-1 1
L (—————)=J (t)
√ ̄2 ̄ ̄ 0
s +1
這題我就完全沒頭緒了...
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