Can you find the Laplace transform of a function multiplied by a non-linear exponential function?











up vote
0
down vote

favorite












I am considering the Laplace transform of the function:



$$g(x,t)=f(x,t)exp(-(c+N(x,t))t).$$



Can you use the shift theorem in this case, or does the dependence of $N$ on time prevent this?










share|cite|improve this question









New contributor




F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
























    up vote
    0
    down vote

    favorite












    I am considering the Laplace transform of the function:



    $$g(x,t)=f(x,t)exp(-(c+N(x,t))t).$$



    Can you use the shift theorem in this case, or does the dependence of $N$ on time prevent this?










    share|cite|improve this question









    New contributor




    F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.






















      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I am considering the Laplace transform of the function:



      $$g(x,t)=f(x,t)exp(-(c+N(x,t))t).$$



      Can you use the shift theorem in this case, or does the dependence of $N$ on time prevent this?










      share|cite|improve this question









      New contributor




      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      I am considering the Laplace transform of the function:



      $$g(x,t)=f(x,t)exp(-(c+N(x,t))t).$$



      Can you use the shift theorem in this case, or does the dependence of $N$ on time prevent this?







      exponential-function laplace-transform laplace-method






      share|cite|improve this question









      New contributor




      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question









      New contributor




      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question








      edited Nov 15 at 15:22





















      New contributor




      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked Nov 15 at 14:18









      F Macfarlane

      11




      11




      New contributor




      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      F Macfarlane is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.



























          active

          oldest

          votes











          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
          });


          }
          });






          F Macfarlane is a new contributor. Be nice, and check out our Code of Conduct.










           

          draft saved


          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2999758%2fcan-you-find-the-laplace-transform-of-a-function-multiplied-by-a-non-linear-expo%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown






























          active

          oldest

          votes













          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          F Macfarlane is a new contributor. Be nice, and check out our Code of Conduct.










           

          draft saved


          draft discarded


















          F Macfarlane is a new contributor. Be nice, and check out our Code of Conduct.













          F Macfarlane is a new contributor. Be nice, and check out our Code of Conduct.












          F Macfarlane is a new contributor. Be nice, and check out our Code of Conduct.















           


          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2999758%2fcan-you-find-the-laplace-transform-of-a-function-multiplied-by-a-non-linear-expo%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          What is the Guru Parampara of Kashmiri Shaivism?

          Герой Советского Союза

          AnyDesk - Fatal Program Failure