Initial conditions statement

slink · web-flow · commit 9a29e18dfb6b · 2017-01-04T15:16:17.000-05:00
When reading through this, the notation used for the initial conditions `u(x)` might be clearer if x is defined as a vector now, or if it were re-written as u(x,y) as u is now in two dimensions.
diff --git a/lessons/07_Step_5.ipynb b/lessons/07_Step_5.ipynb
@@ -86,9 +86,9 @@
     "\n",
     "We will solve this equation with the following initial conditions:\n",
     "\n",
-    "$$u(x) = \\begin{cases}\n",
+    "$$u(x,y) = \\begin{cases}\n",
     "\\begin{matrix}\n",
-    "2\\ \\text{for} & 0.5 \\leq x \\leq 1 \\cr\n",
+    "2\\ \\text{for} & 0.5 \\leq x, y \\leq 1 \\cr\n",
     "1\\ \\text{for} & \\text{everywhere else}\\end{matrix}\\end{cases}$$\n",
     "\n",
     "and boundary conditions:\n",
