Need help with difference equation (continuous-time system)
2 views (last 30 days)
Show older comments
Hello, How to solve the equation in Matlab?
y''(t)+5*y'(t)+6y(t)= u(t)
y'(0)=y(0)=0
u(t) = 1(t) or u(t)= t*1(t)
I found the solution by hand through the transformation of Laplace, it came like this:
y(t)= 1/6 - exp(-2*t)/2 + exp (-3*t) for u(t)=1(t)
2 Comments
Titus Edelhofer
on 2 Nov 2012
Edited: Titus Edelhofer
on 2 Nov 2012
Since he found the solution by hand, I guess the numerical solution is searched for ...? BTW you want to solver a differential equation, not a difference equation ...
Accepted Answer
More Answers (1)
Titus Edelhofer
on 2 Nov 2012
Hi,
you will need to convert your second order problem to a system of first order equations (by setting y1=y, y2=y'). Then use ode45 to solve the system.
Titus
0 Comments
See Also
Categories
Find more on Ordinary Differential Equations in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!