Info

此问题已关闭。 请重新打开它进行编辑或回答。

Using ode45 to solve second order differential system

1 次查看(过去 30 天)
I am trying to solve a system m_1x'' + k_1x = 0; m_2x'' + k_2x = 0, with m_1,m_2,k_1,k_2 are some constants.
I read this post System of 2nd order DE, but I didn't follow how they do with their example, can someone show me how to do it? thanks

回答(1 个)

Roger Stafford
Roger Stafford 2016-4-6
The same single function 'x' cannot in general satisfy two different differential equations, so you need to solve these equations separately.
It should be mentioned that you do not really need to use matlab's numerical ode functions on the particular equations you ask about. Their solution is well known in mathematics. If k/m is positive then x is of the form:
x = A*cos(sqrt(k/m)*t)+B*sin(sqrt(k/m)*t)
If k/m is negative it is
x = A*cosh(sqrt(-k/m)*t)+B*sinh(sqrt(-k/m)*t)
The constants A and B are determined by the two initial conditions which x must satisfy.

此问题已关闭。

标签

Community Treasure Hunt

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

Start Hunting!

Translated by