One way that I have achieved this in the past is to use scipy.optimize.minimize to find the minima of the squared function. return (cos(x)/x - c)**2. This is by no means fool-proof, but it can be quick and accurate.

Assuming I have the following four equations: cos (x)/x = a cos (y)/y = b a + b = 1 c sinc (x) = d sinc (y) for unknown variables x, y, a and b. Note that cos (x)/x=a has multiple solutions.

Nov 3, 2014 · return a * x + log(x) - b. for b in range(1,5): result = brentq(lambda x:f(x, a, b), 1e-10, 20) print a, b, result. brentq provides estimate where the function crosses the x-axis. You need to give it two points, one which is definitely negative and one which is definitely positive.

Solve polynomial and transcendental equations. Solve some differential equations. What is SymPy? SymPy is a Python library for symbolic mathematics. It aims to be an alternative to systems such as Mathematica or Maple while keeping the …

Jan 12, 2025 · The sympy.solve() function is a versatile tool for solving mathematical equations in Python. Whether you're working with simple linear equations or complex transcendental equations, SymPy makes it easy to find solutions.

Python Transcendental Equation Solvers. A collection of numerical schemes used for finding roots of transcendental equations. All functions and associated docstrings are found in main.py.

Mar 19, 2021 · The transcendental equation that we will solve in this example is: $\ln\left(\dfrac{\dot{Q}RT}{\dot{V}P_0L_\mathrm{m}}\right) = \dfrac{L_\mathrm{m}}{R}\left(\dfrac{1}{T_0}-\dfrac{1}{T}\right)$ This equation determine the equilibrium temperature of a boiling liquid that is being cooled by evaporative cooling.

fsolve is a wrapper around MINPACK’s hybrd and hybrj algorithms. Try it in your browser! Find a solution to the system of equations: x0*cos(x1) = 4, x1*x0 - x1 = 5.

Perform basic calculus tasks (limits, differentiation and integration) with symbolic expressions. Solve polynomial and transcendental equations. Solve some differential equations. What is SymPy? SymPy is a Python library for symbolic mathematics.

Nov 8, 2016 · The smartest to do would be to implement a solve function like Stanislav recommended. You can't just iterate over values of x until the equation reaches 0 due to Floating Point Arithmetic. You would have to .floor or .ceil your value to avoid an infinity loop. An example of this would be something like: x += 0.1. print(x) if x == 10: break.