solutions

C/.venv/bin/python

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+python3

C/.venv/bin/python3.12

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+python3

C/main.py

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+import numpy as np
+import matplotlib.pyplot as plt
+
+def u(x, p):
+    if p == 0:
+        return x
+    else:
+        return (np.exp(p*x)-1)/(np.exp(p)-1)
+
+
+x = np.linspace(0, 1, 200)
+
+p_values = [-10, -2, 0, 2, 10]
+colors = ['purple', 'blue', 'black', 'orange', 'red']
+
+
+
+plt.figure(figsize=(7,5))
+for p, c in zip(p_values, colors):
+    plt.plot(x, u(x, p), label=f"p = {p}", color=c, linewidth=2)
+
+
+plt.xlabel("x")
+plt.ylabel("u(x)")
+plt.legend()
+plt.grid(True)
+plt.show()