在Matlab中使用Simulink解决OD​​E

问题描述

我需要使用Simulink解决此ODE，但我不知道如何制作.我只知道如何使用ODE求解器来做到这一点.

I need to solve this ODE using Simulink and I don't know how to make it.I only know how to do it using ODE solvers.

y'' - y' - 2y = e^(3x)

y(0)=1, y'(0)=2.

我重新编写了获得ODE的方程式:

I rewrote the equation obtaining an ODEs:

y' = f(x,y)

y(x0) = y0

y'1 = y2

y2= e^(3*x) + y' + 2y

使用ODE求解器.

如果有人可以帮助我使用Simulink模型解决此问题，

If someone can help me to solve this using a Simulink Model I would appreciate it.

我知道如何在Matlab中使用ODE求解器作为ode23和ode23s来解决它，但我不知道如何使用Simulink模型来解决它.

I know how to solve it in Matlab using ODE solvers as ode23 and ode23s but I don't know how to do it using a Simulink Model.

预先感谢

推荐答案

您能以封闭形式解决它吗?对我来说看起来可行.我建议任何人在可能的情况下都可以找到答案，然后再开始数值解决方案.

Can you solve it in closed form? Looks doable to me. I advise anyone to have the answer in hand if possible before you start a numerical solution.

这就是我得到的.检查我:

Here's what I get. Check me:

y(x) = e^(-x)*(8e^3x + 3e^4x + 1)/12

Wolfram Alpha 说的是正确的.

(注意:x值较大的问题-此响应将以e ^ 3x的速率增长.)

(Note: Trouble for large values of x - this response will grow at e^3x rate.)

您需要将此表达为一组耦合的一阶ODE.

You need to express this as a set of coupled first order ODEs.

y' = z

z' = z + 2y + e^(3x)

边界条件变为:

y(0) = 1
z(0) = 2

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