How to parametrize a function ?

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abdulsamed kaymakci 2022-12-8

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https://ww2.mathworks.cn/matlabcentral/answers/1874237-how-to-parametrize-a-function

评论： abdulsamed kaymakci 2022-12-9

So i have function like y^(0.5) = x this function created by syms command and id like to replace x with t and find y in terms of t. then r =[x,y] disp(r)

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Answer 1

John D'Errico 2022-12-8

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https://ww2.mathworks.cn/matlabcentral/answers/1874237-how-to-parametrize-a-function#answer_1123637

在 MATLAB Online 中打开

syms x y
eq = sqrt(y) == x;
syms t real
ysol = solve(subs(eq,x,t),y,'returnconditions',true)
ysol = struct with fields:
             y: t^2
    parameters: [1×0 sym]
    conditions: 0 <= t

The constraint tells you that t must be positive. This is because the original equation was written as sqrt(y), which presumes the positive branch of the square root function.