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visual lam
Joined: 14 Dec 2004Posts: 3
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Posted: Tue Dec 14, 2004 12:53 pm Post subject: Laplace transforms
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Using Laplace transforms solve the following differential equation subject to the indicated initial conditions:
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Milton
Frequent VisitorJoined: 27 Oct 2003Posts: 225
Location: HKUST Math
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Posted: Wed Dec 15, 2004 5:10 pm Post subject:
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Note that implies
which leads to
Hence we get
Finally we inverse the transform to get .
_________________Sometimes Truth is meanlingless;What means is how you believe in.
偶爾,真相並沒有意義;意義在於你怎樣相信。
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Kenny TM~
Frequent VisitorJoined: 20 Jan 2004Posts: 127
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Posted: Wed Dec 15, 2004 5:44 pm Post subject:
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?
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Milton
Frequent VisitorJoined: 27 Oct 2003Posts: 225
Location: HKUST Math
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Posted: Wed Dec 15, 2004 9:55 pm Post subject:
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Thanks Kenny for checking out my mistakes , but should it be ?_________________Sometimes Truth is meanlingless;What means is how you believe in.
偶爾,真相並沒有意義;意義在於你怎樣相信。
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Kenny TM~
Frequent VisitorJoined: 20 Jan 2004Posts: 127
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Posted: Thu Dec 16, 2004 7:15 pm Post subject:
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Milton wrote:
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Thanks Kenny for checking out my mistakes , but should it be ? |
No, it should be (Typo) =.=
(For your y, y'(0) = 0)
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Milton
Frequent VisitorJoined: 27 Oct 2003Posts: 225
Location: HKUST Math
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Posted: Fri Dec 17, 2004 1:07 am Post subject:
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Ah yes, I misread the problem and bear in mind y(0)=0=y'(0). Thank you Kenny._________________Sometimes Truth is meanlingless;What means is how you believe in.
偶爾,真相並沒有意義;意義在於你怎樣相信。
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