from sympy import *
init_printing()
For each exercise, fill in the function according to its docstring.
a, b, c, d, x, y, z, t = symbols('a b c d x y z t')
f, g, h = symbols('f g h', cls=Function)
Write a function that computes the quadratic equation.
def quadratic():
return ???
quadratic()
File "<ipython-input-7-99cd274c3f68>", line 2 return ??? ^ SyntaxError: invalid syntax
Write a function that computes the general solution to the cubic $x^3 + ax^2 + bx + c$.
def cubic():
return ???
cubic()
File "<ipython-input-10-258b5a2454f9>", line 2 return ??? ^ SyntaxError: invalid syntax
A population that grows without bound is modeled by the differential equation
$$f'(t)=af(t)$$Solve this differential equation using SymPy.
If the population growth is bounded, it is modeled by
$$f'(t) = f(t)(1 - f(t))$$Solve this differential equation using SymPy.