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
edited Nov 19 at 18:52
Zvi
4,050328
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
4,050328
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
4,050328
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
4,050328
asked Nov 19 at 18:47
hussam al matarneh
1
edited Nov 19 at 18:52
Zvi
4,050328
asked Nov 19 at 18:47
hussam al matarneh
1
edited Nov 19 at 18:52
Zvi
4,050328
edited Nov 19 at 18:52
Zvi
4,050328
edited Nov 19 at 18:52
Zvi
4,050328
4,050328
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 |
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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
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