multi.py

import math

# One of the method for solving odes numerically
# Given a implicit function and x for initial x to marched to
def euler_method(implicit, x, y, marched, cleavage):
    dx = (marched - x) / cleavage
    for i in range(cleavage):
        y = y + dx * implicit(x, y)
        x += dx
    return y

def diff_circle(x, y):
    return -x/y

def antiderivative(r, x):
    return math.sqrt(r*r - x*x)

def test(r, marched, cleavage):
    print(euler_method(diff_circle, 0, r, marched, cleavage))
    print(antiderivative(r, marched))


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