transform the equation into Bessel equation











up vote
-2
down vote

favorite












$$frac{d}{dx} left(x^a frac{dy}{dx}right)+bx^h y=0$$



Show that equation can be transformed into a Bessel equation in terms of $t$ and $u$ by transforming both independent and dependent variables according to $t=AX^B$, $u=x^{c} y$ and need to find the general solution.










share|cite|improve this question









New contributor




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




















  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    2 days ago










  • i tried to solve it to check my answer where i found out the bessel form but im not sure if my answer is true and its depend on the other branches from the question
    – hussam al matarneh
    yesterday

















up vote
-2
down vote

favorite












$$frac{d}{dx} left(x^a frac{dy}{dx}right)+bx^h y=0$$



Show that equation can be transformed into a Bessel equation in terms of $t$ and $u$ by transforming both independent and dependent variables according to $t=AX^B$, $u=x^{c} y$ and need to find the general solution.










share|cite|improve this question









New contributor




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




















  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    2 days ago










  • i tried to solve it to check my answer where i found out the bessel form but im not sure if my answer is true and its depend on the other branches from the question
    – hussam al matarneh
    yesterday















up vote
-2
down vote

favorite









up vote
-2
down vote

favorite











$$frac{d}{dx} left(x^a frac{dy}{dx}right)+bx^h y=0$$



Show that equation can be transformed into a Bessel equation in terms of $t$ and $u$ by transforming both independent and dependent variables according to $t=AX^B$, $u=x^{c} y$ and need to find the general solution.










share|cite|improve this question









New contributor




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











$$frac{d}{dx} left(x^a frac{dy}{dx}right)+bx^h y=0$$



Show that equation can be transformed into a Bessel equation in terms of $t$ and $u$ by transforming both independent and dependent variables according to $t=AX^B$, $u=x^{c} y$ and need to find the general solution.







differential-equations bessel-functions






share|cite|improve this question









New contributor




hussam al matarneh 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




hussam al matarneh 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 2 days ago









Zvi

3,300223




3,300223






New contributor




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









asked 2 days ago









hussam al matarneh

1




1




New contributor




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





New contributor





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






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












  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    2 days ago










  • i tried to solve it to check my answer where i found out the bessel form but im not sure if my answer is true and its depend on the other branches from the question
    – hussam al matarneh
    yesterday




















  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    2 days ago










  • i tried to solve it to check my answer where i found out the bessel form but im not sure if my answer is true and its depend on the other branches from the question
    – hussam al matarneh
    yesterday


















Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
– Mason
2 days ago




Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
– Mason
2 days ago












i tried to solve it to check my answer where i found out the bessel form but im not sure if my answer is true and its depend on the other branches from the question
– hussam al matarneh
yesterday






i tried to solve it to check my answer where i found out the bessel form but im not sure if my answer is true and its depend on the other branches from the question
– hussam al matarneh
yesterday

















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
});


}
});






hussam al matarneh 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%2f3005342%2ftransform-the-equation-into-bessel-equation%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown






























active

oldest

votes













active

oldest

votes









active

oldest

votes






active

oldest

votes








hussam al matarneh is a new contributor. Be nice, and check out our Code of Conduct.










 

draft saved


draft discarded


















hussam al matarneh is a new contributor. Be nice, and check out our Code of Conduct.













hussam al matarneh is a new contributor. Be nice, and check out our Code of Conduct.












hussam al matarneh 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%2f3005342%2ftransform-the-equation-into-bessel-equation%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

Wiesbaden

Marschland

Dieringhausen