4 years, 5 days

## solving in maple for to variables divide...

Maple

Is it possible to solve an expression like in the picture below?:
I´ve tried to figure it out at maplesoft.com but I could not find anything that worked...

I´ve also attached the equation as a file.

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## Transfer function in Maple...

Maple 2019

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We have two coupled differential equations relating two outputs ( ) with two inputs

The objective of the exercise is to obtain the four transfer functions relating the outputs to the inputs, in other words, we must find:

To save time, we will from now on write  instead of  , etc.

In order to find tese relations, we must solve  and  as a function of  and

Since our model is defined in the time-domain, the first step is to perform Laplace Transform:

Note tha  and are zero because  and  are deviation variables, as indicated in the problem description of this exercise.

Now we have a set of two equations with two unknowns, which can be solved algebraically
(this is the advantage of the Laplace Transform). For example, from equation (3) we can
isolate :

We can substitute the expression (5) in equation (4) to obtain , as follows:

We can multiply both sides by -3 and expand the products to get:

Now we must group the factors multiplying

Note that this relation is analogous to:

Since the effects of  and  are additive, if we want to obtain the relation between one output and only one input ( for example  and  we can set the other input to zero, i.e.

We still have to obtan the relation between  and the inputs. We can use equation (5) and (6):

Finally we can find the relations:

Hello

I have this problem:

in which I have to find the four transfer functions relating the outputs(yand y2) to the inputs (u1,u2).

The u and y are deviation variables.

The objective is to find the four transfer functions:

So I have done it by hand but I was wondering if there are any maple commands, that could be used to solve such a question?

I found the transfer functions to be:

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