[理工] [工數]-ODE
看板Grad-ProbAsk作者abcxyz123 (阿里八八與四十大盜)時間14年前 (2009/11/16 11:33)推噓4(4推 0噓 4→)留言8則, 3人參與討論串91/280 (看更多)
兩題ode
1.On an interval I not containing the origin,one solution of the differential
equation
x^3y'''-3(x^2)y''+6xy'-6y=0
is y1=x^3.Find the other two linearly independent solution on I.
解答:x和x^2
2.Use the change of variable x=t^-1 to determine the general so:ution
of the equation
(x^4)y''+2(x^3)y'-y=8e(3/x)
解答:y=c1e^(-1/x)+c2e^(1/x)+e^(3/x)
第一題三階的不知怎做= =
第二題我令題目給的變數代入後
大概check到自變數變換都不能用 不知哪錯了
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