How to solve this equation

3 次查看（过去 30 天）
Raef
Raef 2022-10-30
评论： Raef 2022-10-31
I need to solve the following differntinal equation:
y' = -(1+2n)y
intial condition y(0)=1 , n=1
  2 个评论
John D'Errico
John D'Errico 2022-10-30
Surely you need to do your own homework assignment?
Raef
Raef 2022-10-30
Its not my homework assignment, my dad is an applied mathematics scientist and has other colleagues that do the computer work which he don't know how to use. So im trying to learn to use matlab to help and contribute so this is the simple equation he gave me to solve and see if I get a result

请先登录，再进行评论。

请先登录，再回答此问题。

采纳的回答

Sam Chak
Sam Chak 2022-10-30
Ran in:
@Raef, you are a good son and took up a filial duty to help your father.
n = 1;
y0 = 1; % intial value
F = @(t, y) - (1 + 2*n)*y;
[t, y] = ode45(F, [0 5], y0);
plot(t, y), grid on, xlabel('t'), ylabel('y(t)')

更多回答（1 个）

Torsten
Torsten 2022-10-30
Use pencil and paper.
dy/dt = -(1+2*n)*y
-> dy/y = -(1+2*n)*dt
-> log(y/y0) = -(1+2*n)*(t-t0)
-> y = ?
  3 个评论
显示 1更早的评论
Torsten
Torsten 2022-10-30
编辑：Torsten 2022-10-30
If you know the explicit form of the solution like from the approach with paper and pencil, you can easily graph it.
If you also have to derive the solution with a MATLAB solver, either use "dsolve" or "ode45".

请先登录，再进行评论。

类别

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

标签

产品


版本

R2022b

Community Treasure Hunt

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

Start Hunting!

Translated by