How to solve a complicated algebraic equation with symbolic toolbox?

2 次查看（过去 30 天）
Giuseppe
Giuseppe 2022-3-9
编辑： Torsten 2022-3-9
Hi guys,
In the following image there are some expression of some parameters.
I need to solve the equality deriving from expression (17), i.e. in order to get .
I tried to solve the problem by hand but it involves many substitutions and it is full of computations.
Is there a way to perform this task by using the symbolic toolbox with as little effort as possible?

请先登录，再回答此问题。

采纳的回答

Torsten
Torsten 2022-3-9
Either
delta_w = k*pi (k integer)
or
delta_w = acos(((p1*e2)^2 + (p2*e1)^2 - (p1-p2)^2)/(2*p1*p2*e1*e2))
  4 个评论
显示 2更早的评论
Torsten
Torsten 2022-3-9
编辑：Torsten 2022-3-9
Since I don't have MATLAB available at the moment:
Do you get the same formula from MATLAB as the one from my hand calculation or
/ _____________________________________________________________\
| / / 2 2 2 2 2 2\ |
| / -\e1 *p2 - 2*e1*e2*p1*p2 + e2 *p1 - p1 + 2*p1*p2 - p2 / |
+/-2*atan| / ----------------------------------------------------------- |
| / 2 2 2 2 2 2 |
\\/ e1 *p2 + 2*e1*e2*p1*p2 + e2 *p1 - p1 + 2*p1*p2 - p2 /

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 Symbolic Math Toolbox 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