From f6872d827db343d06fcc23f8d129a11ef5c44f07 Mon Sep 17 00:00:00 2001
From: "dino.celebic" <dino.celebic@edu.uni-graz.at>
Date: Mon, 20 Oct 2025 23:48:46 +0200
Subject: [PATCH 1/2] ex2

---
 ex2/task_c.py | 8 ++++++++
 1 file changed, 8 insertions(+)
 create mode 100644 ex2/task_c.py

diff --git a/ex2/task_c.py b/ex2/task_c.py
new file mode 100644
index 0000000..2a6a719
--- /dev/null
+++ b/ex2/task_c.py
@@ -0,0 +1,8 @@
+import numpy as numpy
+import matplotlib.pyplot as plt
+
+
+x = np.linspace(0,1,100)
+p = [10**i for i in range(-3,4)]
+
+print(p)
\ No newline at end of file

From a1928ab84b27e66d364266a5e0174c34e2b36d8c Mon Sep 17 00:00:00 2001
From: "dino.celebic" <dino.celebic@edu.uni-graz.at>
Date: Mon, 20 Oct 2025 23:50:21 +0200
Subject: [PATCH 2/2] ex2

---
 ex2/task_c.py | 19 +++++++++++++++----
 1 file changed, 15 insertions(+), 4 deletions(-)

diff --git a/ex2/task_c.py b/ex2/task_c.py
index 2a6a719..a12ae74 100644
--- a/ex2/task_c.py
+++ b/ex2/task_c.py
@@ -1,8 +1,19 @@
-import numpy as numpy
+import numpy as np
 import matplotlib.pyplot as plt
 
+x = np.linspace(0,1,200)
+p_list = [-100, -10, -1, 0, 1, 10, 100]
 
-x = np.linspace(0,1,100)
-p = [10**i for i in range(-3,4)]
+for p in p_list:
+    if p != 0:
+        u = (np.exp(p*x)-1)/(np.exp(p)-1)
+    else:
+        u = x
 
-print(p)
\ No newline at end of file
+    plt.plot(x,u, label=f"p={p}")
+
+plt.xlabel("x")
+plt.ylabel("u(x)")
+plt.title("Solution of -u''+pu'=0 with u(0)=0 u(1)=1")
+plt.legend()
+plt.show()
\ No newline at end of file