hi

I need your help to resolve this question

y''-y'-2y=18e^-t sin3t

y(c)=0 , y'(c)=3

?

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- October 5th 2012, 10:33 AMlooloQuestion on the applications of Laplace transforms
hi

I need your help to resolve this question

y''-y'-2y=18e^-t sin3t

y(c)=0 , y'(c)=3

? - October 5th 2012, 10:47 AMTheEmptySetRe: Question on the applications of Laplace transforms
- October 5th 2012, 11:32 AMlooloRe: Question on the applications of Laplace transforms
ammmmmm

I want a solution by this law

Attachment 25057 - October 5th 2012, 12:32 PMTheEmptySetRe: Question on the applications of Laplace transforms
I don't see how that rule applies to this problem. Since we don't know the intial contidtions at zero we assume

If we take the laplace transfrom of the equation we get

Solving for Y gives

Edit: You could use the theorem to invert the 2nd of the two terms in this problem. - October 5th 2012, 01:06 PMlooloRe: Question on the applications of Laplace transforms
i Began resolve the question as follows

Attachment 25062 - October 5th 2012, 01:46 PMTheEmptySetRe: Question on the applications of Laplace transforms
- October 5th 2012, 02:23 PMlooloRe: Question on the applications of Laplace transforms
ammmmmm

I'll try to find a way s-axis translation theorem.(Smirk) - October 5th 2012, 05:01 PMProve ItRe: Question on the applications of Laplace transforms
Are you able to use Partial Fractions to simplify before trying to take the Inverse transform to get back to y? If not, you may need to use the convolution theorem...

- October 6th 2012, 01:30 AMlooloRe: Question on the applications of Laplace transforms
Ammmmmm

Dr. asked us to use partial fractions

But I do not know how - October 6th 2012, 02:05 AMlooloRe: Question on the applications of Laplace transforms
I'm so sorry,

the Conditions in

y(0)=0 ,

y(0)=3

this is my Try...

Attachment 25073 - October 6th 2012, 03:28 AMlooloRe: Question on the applications of Laplace transforms
Now I want to use partial fractions..

Can you help me ؟

Attachment 25074 - October 6th 2012, 05:53 AMProve ItRe: Question on the applications of Laplace transforms
- October 6th 2012, 04:50 PMlooloRe: Question on the applications of Laplace transforms
ammmmmmm

Can you help me complete the answer - October 6th 2012, 06:52 PMMaxJasperRe: Question on the applications of Laplace transforms
- October 6th 2012, 06:58 PMlooloRe: Question on the applications of Laplace transforms