CODEWITHSUNDEEP
pythonsympy
zsmlqlj
zsmlqlj

Reputation: 15

How to use sympy to find the relationship between X and Y

I am new to sympy. My ultimate goal is to plot y with respect to x.

Y is the known formula of k, m, ω

check the y formula

and x = ω*(m/k)**0.5 is also known.

I want to know how can I plot a function of both of them.

I am not sure which direction I should proceed from. I have tried simplification, and in the handwritten calculation, M/K of the numerator and denominator should be eliminated, but I have used sympy to only achieve the same variables in the top and bottom, which makes me at a loss. I hope that you can give me a solution.

Upvotes: 1

Views: 252

Answers (1)

smichr
smichr

Reputation: 19093

This is an implicit definition of y and x in terms of parameters omega, k and m. Since omega and x are directly proportional, I would recommend solving for omega in terms of x and then replacing omega in y with that solution. That will give you y as a function of x which you can then plot. Here is a toy example:

>>> from sympy.abc import x, w, k
>>> yi = w
>>> xi = w*k
>>> yx = yi.subs(w. solve(x - xi, w)[0]); yx
x/k
>>> plot(yx.subs(k, 1), ylim=(-1,3))

Upvotes: 2

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