transform the equation into Bessel equation

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$$frac{d}{dx} left(x^a frac{dy}{dx}right)+bx^h y=0$$
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
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up vote
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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
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
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
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
differential-equations bessel-functions
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.
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.
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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
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
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
add a comment |
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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.
hussam al matarneh is a new contributor. Be nice, and check out our Code of Conduct.
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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