import numpy as np
import matplotlib.pyplot as plt


plt.rcParams["mathtext.fontset"] = "cm"

t = np.linspace(0, 5, 500)
y = np.exp(-t)*np.cos(2*np.pi*t)
plt.plot(t, y)


plt.xlabel("$t$", fontsize=14, loc="right")
plt.ylabel("$y(t)$", fontsize=14)
plt.xlim(0, 5.5)
plt.xticks([1, 2, 3, 4, 5])
plt.yticks([-1, -0.5, 0, 0.5, 1])

ax = plt.gca()
ax.spines['right'].set_color('none')
ax.spines['top'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
plt.savefig("DampedCosine.svg")
plt.show()