corrected a markdown cell
"\n",
"$$\\begin{align}\n",
"F(u, x, y) &= \\frac{\\partial^2 u}{\\partial x^2} + \\frac{\\partial^2 u}{\\partial y^2} = 0 \\\\\n",
- "u(0, y) &= 0 \\\\\n",
+ "u(0, y) &= \\sin(\\pi y) \\\\\n",
"u(1, y) &= 0 \\\\\n",
- "u(x, 0) &= x(1-x) \\\\ \n",
+ "u(x, 0) &= 0 \\\\ \n",
"u(x, 1) &= 0 \\\\\n",
- "\\end{align}$$"
+ "\\end{align}$$\n",
+ "\n",
+ "The analytical solution is:\n",
+ "\n",
+ "$$\n",
+ "u(x, y) = \\sin(\\pi y) \\frac{\\sinh(\\pi(1-x))}{\\sinh(\\pi)}\n",
+ "$$"
]
},
{
