SymPy

Question 1

Answer 1

from sympy import symbols, solve

x = symbols(‘x’)
equation = x**2 - 4
solution = solve(equation, x)

Question 2

Answer 2

from sympy import symbols, sin, cos, integrate

x = symbols(‘x’)
expression = sin(x) * cos(x)
integral = integrate(expression, x)

Question 3

Answer 3

from sympy import symbols, diff

x = symbols(‘x’)
expression = x3 + 2x**2 + 3x + 4
derivative = diff(expression, x)
print(derivative)

Question 4

Answer 4

from sympy import symbols, Function, dsolve

x, y = symbols(‘x y’)
f = Function(‘f’)
equation = f(x).diff(x) - x*f(x)
solution = dsolve(equation, f(x))
print(solution)

Question 5

Answer 5

from sympy import Matrix

A = Matrix([[1, 2], [2, 1]])
eigenvalues = A.eigenvals()
eigenvectors = A.eigenvects()
print(“Eigenvalues:”, eigenvalues)