how to extract y as a function of x

3 次查看（过去 30 天）
Robert Jones
Robert Jones 2022-12-14
评论： Star Strider 2022-12-14
Hello,
I am trying to extract the y as a function of x in the expression below, using the symbolic toolbox.
Here is the the expression (the generalized formula of an offsetted, rotated ellipse).
(a^2*sin(tr)^2+b^2*cos(tr)^2)*(x-x0)^2+2*(b^2-a^2)*sin(tr)*cos(tr)*(x-x0)*(y-y0)+(a^2+cos(tr)^2+b^2*sin(tr))*(y-y0)^2==a^2*b^2;
I need to express y as a function of x. I undersand there might be more than one solutions.
I tried without success:
syms x y a b x0 y0 tr
fun=solve(y,x)
Apparently I do not know how to use the symbolic tollbox correctly
Help would be appreciated
Thank you

请先登录，再回答此问题。

采纳的回答

Star Strider
Star Strider 2022-12-14
Ran in:
Try something like this —
syms x y a b x0 y0 tr
sympref('AbbreviateOutput',false);
Eqn = (a^2*sin(tr)^2+b^2*cos(tr)^2)*(x-x0)^2+2*(b^2-a^2)*sin(tr)*cos(tr)*(x-x0)*(y-y0)+(a^2+cos(tr)^2+b^2*sin(tr))*(y-y0)^2==a^2*b^2;
Eqn = simplify(Eqn, 1000)
Eqn = 
fun = simplify(solve(Eqn,y),1000)
fun = 
Eqn = isolate(Eqn, y)
Eqn = 
.
  2 个评论
Robert Jones
Robert Jones 2022-12-14
移动：John D'Errico 2022-12-14
Great, Thank you. I will
Star Strider
Star Strider 2022-12-14
My pleasure!
If my Answer helped you solve your problem, please Accept it!
.

请先登录，再进行评论。

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Common Operations 的更多信息

标签

产品


版本

R2021a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by