[理工] [工數] 高階線性ODE題目
1.Given that y =cos(lnx) and y =sin(lnx) are linearly independent solutions
1 2
2
of the homogeneous differential equation x y'' + xy'+y=0 on (0,π)
Find the general solution of the eqution.
ANS. c y + c y +cos(lnx)ln{cos(lnx)}+sin(lnx)ln{lnx}
1 1 2 2
其中大括弧絕對值
呆子我是連題目都看不太懂他在問什麼......... 看完答案更是霧煞煞......
懇請賜教
2.以下哪一個微分方程式不能化簡為一階的微分方程式?
(a)F(x,y',y'')=0
(b)F(y,y'y'')=0
(c)F(x,y,y'')=0
(d)F(y,y',y'')=0
(e)以上皆是
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◆ From: 114.38.11.55
※ 編輯: Ifanwei 來自: 114.38.11.55 (09/22 21:49)
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