Lab 2: Solution of Non-linear Equations using Bisection Method

import matplotlib.pyplot as plt from math import * def f(x): return x*sin(x)+cos(x) a= float(input(“Enter The value of a: “)) b= float(input(“Enter The value of b: “)) d= int(input(“Enter no. of Decimal Precision: “)) e=5*10**(-d-1) A=a B=b n=(log(abs(b-a))-log(e))/log(2) if f(a)*f(b)>0: raise Exception(“ERROR”) elif f(a)*f(b)==0: if f(a)==0 : print(a) if f(b)==0: print(b) else: count=0 c=(a+b)/2 while abs(f(c))>e: if f(c)*f(a)<0: b=c else: a=c c=(a+b)/2 count +=1 if count>2*n: raise Exception(“DISCOUNTINUS FUNCTION”) print(round(c,d)) plt.figure() N=100 h=(B-A)/N xp=[A+i*h for i in range (N+1)] yp=[f(num) for num in xp] plt.plot(xp,yp,color=”green”, label=(“f(x)”)) plt.axhline(0,color=”blue”,linestyle=”–“,label=”X-Axis”) plt.plot(c,0,marker=”o”,linestyle=””,color=”orange”,label=”root”) plt.grid() plt.legend() plt.show() plt.savefig(“root_solution.png”)