Need help with difference equation (continuous-time system)

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Alex 2012-11-2

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采纳的回答： Rajiv Singh

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)

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Azzi Abdelmalek 2012-11-2

Do you need a numeric solution or symbolic?

Titus Edelhofer 2012-11-2

编辑：Titus Edelhofer 2012-11-2

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 ...

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Rajiv Singh 2012-11-2

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[y,t] = step(tf(1,[1 5 6]))

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Alex 2012-11-3

Thank you)

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Titus Edelhofer 2012-11-2

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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

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MATLAB Mathematics Numerical Integration and Differential Equations Ordinary Differential Equations

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