import numpy as np

import cmath

import math

from scipy,integrate import odeint # p$$p install scipy

from dataclasses import dataclass, field

@dataclass

class MassSpringDamperClosedForm$()$:

# Vibration system parameters

m: float

c: float

k: float

# mass

# damping coefficient

# spring constant

$x0$ : float

vo: float $,$ # initial position

$tf$ : float

# initial velocity

$N$ : int

# simulation duration

def calculate$\_$rcts$($self$)$:

# number of point of sin

delta $=$ cmath.sqrt$($self$.$c$**2-4$self.m$)$

# TOD$01$: insert the correct formula here

$\sqrt[1]{?}=0$

root$2=0$