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.
differential-equations bessel-functions
edited Nov 19 at 18:52
Zvi
3,835328
asked Nov 19 at 18:47
hussam al matarneh
1
add a comment |
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.
differential-equations bessel-functions
edited Nov 19 at 18:52
Zvi
3,835328
asked Nov 19 at 18:47
hussam al matarneh
1
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
Nov 19 at 18:56
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
Nov 20 at 12:55
add a comment |
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.
differential-equations bessel-functions
edited Nov 19 at 18:52
Zvi
3,835328
asked Nov 19 at 18:47
hussam al matarneh
1
$$frac{d}{dx} left(x^a frac{dy}{dx}right)+bx^h y=0$$
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
differential-equations bessel-functions
edited Nov 19 at 18:52
Zvi
3,835328
asked Nov 19 at 18:47
hussam al matarneh
1
edited Nov 19 at 18:52
Zvi
3,835328
asked Nov 19 at 18:47
hussam al matarneh
1
edited Nov 19 at 18:52
Zvi
3,835328
edited Nov 19 at 18:52
Zvi
3,835328
edited Nov 19 at 18:52
Zvi
3,835328
3,835328
asked Nov 19 at 18:47
hussam al matarneh
1
asked Nov 19 at 18:47
hussam al matarneh
1
asked Nov 19 at 18:47
hussam al matarneh
1
1
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
Nov 19 at 18:56
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
Nov 20 at 12:55
add a comment |
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
Nov 19 at 18:56
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
Nov 20 at 12:55
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
Nov 19 at 18:56
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
Nov 19 at 18:56
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
Nov 20 at 12:55
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
Nov 20 at 12:55
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
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
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
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
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
Nov 19 at 18:56
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
Nov 20 at 12:55