Nonlinear Differential Equation Solving

17 次查看（过去 30 天）
Nuri Efe TATLI
Nuri Efe TATLI 2022-6-14
评论： Sam Chak 2022-6-14
Hello everyone.
I have a second order non-linear homogenous differential equation I want to solve.
Equation basicly is : A*y'' - B*y + C = D*cos(y)
How can i solve this? I am trying to acquire a solution in the form of y = ....
Note = y'' is second order derivative of y

请先登录，再回答此问题。

采纳的回答

Sam Chak
Sam Chak 2022-6-14
Hi @Nuri Efe TATLI
The analytical solution probably does not exist.
syms y(t) A B C D
eqn = A*diff(y,t,2) - B*y + C == D*cos(y);
ySol(t) = dsolve(eqn)
Try ode45 instead if the parameters {A, B, C, D} are known. See some examples here:
https://www.mathworks.com/help/matlab/ref/ode45.html
  2 个评论
Nuri Efe TATLI
Nuri Efe TATLI 2022-6-14
Thanks for the swift answer @Sam Chak
Could i possibly get an analytical solution if i linearize the equation and solve it for y ?
If i can what would be the way to do this ?
Thanks in advance !
Sam Chak
Sam Chak 2022-6-14
Ran in:
Yes @Nuri Efe TATLI. If cos(y) is linearized at y = 0, where , then the analytical solution exists.
syms y(t) A B C D
eqn = A*diff(y,t,2) - B*y + C == D;
ySol(t) = dsolve(eqn)
ySol(t) = 

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 Numeric Solvers 的更多信息

标签

产品


版本

R2019b

Community Treasure Hunt

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

Start Hunting!

Translated by