How to replace a variable or function with another variable or function ?

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for example. I have a function
y = x*(x^2 - 1)
In this function, I want to replace x with cos(t)
the required function is,
y = cos(t) ( (cos(t))^2 - 1)

回答(3 个)

Are Mjaavatten
Are Mjaavatten 2016-5-25
编辑:Are Mjaavatten 2016-5-25
You could define an anonymous function f(x):
f = @(x) x.*(x.^2-1);
Note the '.' before the * and ^operators. This lets the function work with array inputs. I use this feature in the example at the end.
Now you can use cos(t) as an argument to f:
t = 2;
y = f(cos(t))
Or you may define a new anonymous function g:
g = @(t) f(cos(t));
You may now try something like this:
t = linspace(0,2*pi);
plot(t,g(t))
You may want to take a look at the Matlab documentation for anonymous functions.
  2 个评论
Pavan Bharadwaj
Pavan Bharadwaj 2016-5-25
Thank you for your answer.
In the case I am working on, The result of the differential acts the function and in this function I want to replace x by cos(t). The resultant function has to again be differentiated with respect to t.
Cheers, Pavan
Are Mjaavatten
Are Mjaavatten 2016-5-25
Pavan,
It seems from your comment that I may have misunderstood your question.
You mention 'differential' in your comment. Are you asking how to do some symbolic manipulations to the equations to yield a mathemathical differential (e.g. dy or dx), formulate a differential equation, or maybe how to find the derivative dy/dt?
If so, maybe the symbolic math toolbox may be of help. I do not have this toolbox, but if you state your problem more clearly, maybe someone else can give a relevant answer.

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Steven Lord
Steven Lord 2016-5-25
Since it seems like you want to perform symbolic computations, see the subs function in Symbolic Math Toolbox.

Parth Shrimali
Parth Shrimali 2020-12-1
编辑:Parth Shrimali 2020-12-1
syms x y z;
p = 3*x + y +z;
% suppose you wanna replace 'x' with
% new variable 'a' in our difined
% variable 'p'
syms a;
subs(p,'x',a)

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