How to solve analytically this equation?
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
I need to solve the next equation and to find $x_1$:
$$dfracd(x_0x_1)dz=-8dfracdx_0dzdfrac1r-z(r-1)$$
where $x_0$, $x_1$, $z$ are variables, and $r$, $beta$ are constants.
At this point is it possible to multiply whole equation with $dz$, will I lose some information because of the therm $dfrac1r-z(r-1)$?
On the other side, I have expression for $x_0=f(z)$, it is dependent on $z$:
$x_0=left(1+dfracbetar-1left( 1-dfrac1(r-z(r-1))^3 right)right)^0.5$
On which side I need to go to integrate this equation?
integration differential-equations derivatives integral-dependence
add a comment |Â
up vote
0
down vote
favorite
I need to solve the next equation and to find $x_1$:
$$dfracd(x_0x_1)dz=-8dfracdx_0dzdfrac1r-z(r-1)$$
where $x_0$, $x_1$, $z$ are variables, and $r$, $beta$ are constants.
At this point is it possible to multiply whole equation with $dz$, will I lose some information because of the therm $dfrac1r-z(r-1)$?
On the other side, I have expression for $x_0=f(z)$, it is dependent on $z$:
$x_0=left(1+dfracbetar-1left( 1-dfrac1(r-z(r-1))^3 right)right)^0.5$
On which side I need to go to integrate this equation?
integration differential-equations derivatives integral-dependence
You posted the same question on MO. I think that crossposting, without mentioning it, is considered a bad practice, see Moderator Supported (Official) Guidelines for âÂÂLegitimateâ CrossPosting?.
â user539887
Aug 22 at 9:28
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I need to solve the next equation and to find $x_1$:
$$dfracd(x_0x_1)dz=-8dfracdx_0dzdfrac1r-z(r-1)$$
where $x_0$, $x_1$, $z$ are variables, and $r$, $beta$ are constants.
At this point is it possible to multiply whole equation with $dz$, will I lose some information because of the therm $dfrac1r-z(r-1)$?
On the other side, I have expression for $x_0=f(z)$, it is dependent on $z$:
$x_0=left(1+dfracbetar-1left( 1-dfrac1(r-z(r-1))^3 right)right)^0.5$
On which side I need to go to integrate this equation?
integration differential-equations derivatives integral-dependence
I need to solve the next equation and to find $x_1$:
$$dfracd(x_0x_1)dz=-8dfracdx_0dzdfrac1r-z(r-1)$$
where $x_0$, $x_1$, $z$ are variables, and $r$, $beta$ are constants.
At this point is it possible to multiply whole equation with $dz$, will I lose some information because of the therm $dfrac1r-z(r-1)$?
On the other side, I have expression for $x_0=f(z)$, it is dependent on $z$:
$x_0=left(1+dfracbetar-1left( 1-dfrac1(r-z(r-1))^3 right)right)^0.5$
On which side I need to go to integrate this equation?
integration differential-equations derivatives integral-dependence
edited Aug 21 at 20:43
asked Aug 21 at 13:19
nick_name
1209
1209
You posted the same question on MO. I think that crossposting, without mentioning it, is considered a bad practice, see Moderator Supported (Official) Guidelines for âÂÂLegitimateâ CrossPosting?.
â user539887
Aug 22 at 9:28
add a comment |Â
You posted the same question on MO. I think that crossposting, without mentioning it, is considered a bad practice, see Moderator Supported (Official) Guidelines for âÂÂLegitimateâ CrossPosting?.
â user539887
Aug 22 at 9:28
You posted the same question on MO. I think that crossposting, without mentioning it, is considered a bad practice, see Moderator Supported (Official) Guidelines for âÂÂLegitimateâ CrossPosting?.
â user539887
Aug 22 at 9:28
You posted the same question on MO. I think that crossposting, without mentioning it, is considered a bad practice, see Moderator Supported (Official) Guidelines for âÂÂLegitimateâ CrossPosting?.
â user539887
Aug 22 at 9:28
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
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
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2889847%2fhow-to-solve-analytically-this-equation%23new-answer', 'question_page');
);
Post as a guest
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
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
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
You posted the same question on MO. I think that crossposting, without mentioning it, is considered a bad practice, see Moderator Supported (Official) Guidelines for âÂÂLegitimateâ CrossPosting?.
â user539887
Aug 22 at 9:28