Math Forum :: View topic – Laplace transforms

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visual lam

Joined: 14 Dec 2004Posts: 3

Posted: Tue Dec 14, 2004 12:53 pm    Post subject: Laplace transforms

Using Laplace transforms solve the following differential equation subject to the indicated initial conditions:

Milton

Frequent VisitorJoined: 27 Oct 2003Posts: 225

Location: HKUST Math

Posted: Wed Dec 15, 2004 5:10 pm    Post subject:

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。

Kenny TM~

Frequent VisitorJoined: 20 Jan 2004Posts: 127

Posted: Wed Dec 15, 2004 5:44 pm    Post subject:

?

Milton

Frequent VisitorJoined: 27 Oct 2003Posts: 225

Location: HKUST Math

Posted: Wed Dec 15, 2004 9:55 pm    Post subject:

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。

Kenny TM~

Frequent VisitorJoined: 20 Jan 2004Posts: 127

Posted: Thu Dec 16, 2004 7:15 pm    Post subject:

Milton wrote:

Thanks Kenny for checking out my mistakes , but should it be ?

No, it should be (Typo) =.=

(For your y, y'(0) = 0)

Milton

Frequent VisitorJoined: 27 Oct 2003Posts: 225

Location: HKUST Math

Posted: Fri Dec 17, 2004 1:07 am    Post subject:

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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