How to solve the following relation related to Laplace transformation?

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
3
down vote

favorite
1












I tried solving it by integrating by parts but i was unsuccessful.enter image description here






differential-equations laplace-transform







share|cite|improve this question

















  • 3




    Start from the right hand side.
    – Nosrati
    1 hour ago










  • @Nosrati i am getting two integrals multiplied together.how to bring them in single one ?
    – RockDock
    1 hour ago







  • 2




    by changing variables.
    – Nosrati
    1 hour ago














up vote
3
down vote

favorite
1












I tried solving it by integrating by parts but i was unsuccessful.enter image description here






differential-equations laplace-transform







share|cite|improve this question

















  • 3




    Start from the right hand side.
    – Nosrati
    1 hour ago










  • @Nosrati i am getting two integrals multiplied together.how to bring them in single one ?
    – RockDock
    1 hour ago







  • 2




    by changing variables.
    – Nosrati
    1 hour ago












up vote
3
down vote

favorite
1









up vote
3
down vote

favorite
1






1





I tried solving it by integrating by parts but i was unsuccessful.enter image description here






differential-equations laplace-transform







share|cite|improve this question













I tried solving it by integrating by parts but i was unsuccessful.enter image description here






differential-equations laplace-transform




differential-equations laplace-transform






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked 1 hour ago









RockDock

483




483







  • 3




    Start from the right hand side.
    – Nosrati
    1 hour ago










  • @Nosrati i am getting two integrals multiplied together.how to bring them in single one ?
    – RockDock
    1 hour ago







  • 2




    by changing variables.
    – Nosrati
    1 hour ago












  • 3




    Start from the right hand side.
    – Nosrati
    1 hour ago










  • @Nosrati i am getting two integrals multiplied together.how to bring them in single one ?
    – RockDock
    1 hour ago







  • 2




    by changing variables.
    – Nosrati
    1 hour ago







3




3




Start from the right hand side.
– Nosrati
1 hour ago




Start from the right hand side.
– Nosrati
1 hour ago












@Nosrati i am getting two integrals multiplied together.how to bring them in single one ?
– RockDock
1 hour ago





@Nosrati i am getting two integrals multiplied together.how to bring them in single one ?
– RockDock
1 hour ago





2




2




by changing variables.
– Nosrati
1 hour ago




by changing variables.
– Nosrati
1 hour ago










1 Answer
1






active

oldest

votes

















up vote
4
down vote



accepted










beginalign
F(p) G(p)
&= int_0^infty e^-puf(u) duint_0^infty e^-pvg(v) dv \
&= int_0^inftyint_0^infty e^-p(u+v)f(u)g(v) du dv ,,, , ,,, textu+v=t ,, , ,, textv=x\
&= int_0^inftyint_x^infty e^-ptf(t-x)g(x) dt dx \
&= int_0^infty e^-ptBig[int_0^xf(t-x)g(x) dx Big] dt \
&= cal L(f*g)(t)
endalign






share|cite|improve this answer
















  • 1




    I think you might be right, let me correct another time, thank you.
    – Nosrati
    5 mins ago










Your Answer





StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");

StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);

else
createEditor();

);

function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);



);













 

draft saved


draft discarded


















StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2983033%2fhow-to-solve-the-following-relation-related-to-laplace-transformation%23new-answer', 'question_page');

);

Post as a guest

















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
4
down vote



accepted










beginalign
F(p) G(p)
&= int_0^infty e^-puf(u) duint_0^infty e^-pvg(v) dv \
&= int_0^inftyint_0^infty e^-p(u+v)f(u)g(v) du dv ,,, , ,,, textu+v=t ,, , ,, textv=x\
&= int_0^inftyint_x^infty e^-ptf(t-x)g(x) dt dx \
&= int_0^infty e^-ptBig[int_0^xf(t-x)g(x) dx Big] dt \
&= cal L(f*g)(t)
endalign






share|cite|improve this answer
















  • 1




    I think you might be right, let me correct another time, thank you.
    – Nosrati
    5 mins ago














up vote
4
down vote



accepted










beginalign
F(p) G(p)
&= int_0^infty e^-puf(u) duint_0^infty e^-pvg(v) dv \
&= int_0^inftyint_0^infty e^-p(u+v)f(u)g(v) du dv ,,, , ,,, textu+v=t ,, , ,, textv=x\
&= int_0^inftyint_x^infty e^-ptf(t-x)g(x) dt dx \
&= int_0^infty e^-ptBig[int_0^xf(t-x)g(x) dx Big] dt \
&= cal L(f*g)(t)
endalign






share|cite|improve this answer
















  • 1




    I think you might be right, let me correct another time, thank you.
    – Nosrati
    5 mins ago












up vote
4
down vote



accepted







up vote
4
down vote



accepted






beginalign
F(p) G(p)
&= int_0^infty e^-puf(u) duint_0^infty e^-pvg(v) dv \
&= int_0^inftyint_0^infty e^-p(u+v)f(u)g(v) du dv ,,, , ,,, textu+v=t ,, , ,, textv=x\
&= int_0^inftyint_x^infty e^-ptf(t-x)g(x) dt dx \
&= int_0^infty e^-ptBig[int_0^xf(t-x)g(x) dx Big] dt \
&= cal L(f*g)(t)
endalign






share|cite|improve this answer












beginalign
F(p) G(p)
&= int_0^infty e^-puf(u) duint_0^infty e^-pvg(v) dv \
&= int_0^inftyint_0^infty e^-p(u+v)f(u)g(v) du dv ,,, , ,,, textu+v=t ,, , ,, textv=x\
&= int_0^inftyint_x^infty e^-ptf(t-x)g(x) dt dx \
&= int_0^infty e^-ptBig[int_0^xf(t-x)g(x) dx Big] dt \
&= cal L(f*g)(t)
endalign







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered 1 hour ago









Nosrati

25k62052




25k62052







  • 1




    I think you might be right, let me correct another time, thank you.
    – Nosrati
    5 mins ago












  • 1




    I think you might be right, let me correct another time, thank you.
    – Nosrati
    5 mins ago







1




1




I think you might be right, let me correct another time, thank you.
– Nosrati
5 mins ago




I think you might be right, let me correct another time, thank you.
– Nosrati
5 mins ago

















 

draft saved


draft discarded















































 


draft saved


draft discarded














StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2983033%2fhow-to-solve-the-following-relation-related-to-laplace-transformation%23new-answer', 'question_page');

);

Post as a guest
































































Comments

Post a Comment

Popular posts from this blog

Long meetings (6-7 hours a day): Being “babysat” by supervisor

Image
Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote 31 down vote favorite 4 I hold a PhD in mechanical engineering with a 7 year background in self-guided, self-paced research including 2 years as a graduate level course instructor and a subject matter expert for various engineering projects in a university setting in the United States. For the last 10-11 months, I am working in a research industry in France where my task is to debug C++ spaghetti code written over a period of several years by my current supervisor. It is a team of 2: just I and my supervisor. Diurnally, I am posed with a "bug of the day" to get out of this C++ code. My supervisor generally gives me about 15-30 minutes to solve it and then accosts me about whether or not the task is completed and then rinses and repeats this until the end of the day. Off-late, my supervisor has been holding 6-7 hour long "meetin
Read more

What does second last employer means? [closed]

Image
Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote -3 down vote favorite Say, for example I have worked in the following companies, Company A => 2010 - 2011 Company B => 2011 - 2012 Company C => 2012 - Till Date Company D => Have offer Now assume Company D is asking to submit documents from my second last employer. So from the list of companies given, which company would be qualified as second last employer? software-industry employer share | improve this question asked Aug 10 '14 at 5:16 Rajaprabhu Aravindasamy 559 1 6 13 closed as off-topic by Jim G., jmort253 ♦ Aug 11 '14 at 1:58 This question appears to be off-topic. The users who voted to close gave this specific reason: "Questions seeking advice on company-specific regulations, agreements, or policies should be directed to your manager or HR department. Questions that address only
Read more

One-line joke

A one-liner is a joke that is delivered in a single line. A good one-liner is said to be pithy - concise and meaningful. [1] Comedians and actors use this comedic method as part of their act, e.g. Jimmy Carr, Tommy Cooper, Rodney Dangerfield, Norm Macdonald, Ken Dodd, Stewart Francis, Zach Galifianakis, Mitch Hedberg, Anthony Jeselnik, Milton Jones, Shappi Khorsandi, Jay London, Mark Linn-Baker, Demetri Martin, Groucho Marx, Dan Mintz, Emo Philips, Tim Vine, Steven Wright and Henny Youngman and Arnold Schwarzenegger. [ citation needed ] Many fictional characters are also known to deliver one-liners, including James Bond, who usually includes pithy and laconic quips after disposing of a villain. [ citation needed ] Examples "A baby seal walks into a club." "A dyslexic man walks into a bra." (Anonymous) "There are three types of people, those who can count and those who can't." "Venison's dear, isn't it?" (Jimmy Carr) "An escala
Read more