diff --git a/Week 6/10 Hyperbolic PDEs.ipynb b/Week 6/10 Hyperbolic PDEs.ipynb index 4cd02a6..3e8c745 100644 --- a/Week 6/10 Hyperbolic PDEs.ipynb +++ b/Week 6/10 Hyperbolic PDEs.ipynb @@ -66,7 +66,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": { "deletable": false, "nbgrader": { @@ -164,7 +164,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": { "deletable": false, "nbgrader": { @@ -274,7 +274,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": { "deletable": false, "nbgrader": { @@ -289,7 +289,49 @@ "task": false } }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.4142413481070388\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "# There is an 𝑙 in the boundary conditions we assume should be a 1.\n", "a = 1\n",