time marching latex fix

algorithms/differential_equations/time_marching/time_marching.ipynb

@@ -22,7 +22,7 @@
     "Now let's deffine the problem first:\n",
     "\n",
     "* **Input:**  a system of linear homogenous linear equations (ODEs)\n",
-    "$$ \\frac{d}{dt} \\ket{\\psi(t)} = A(t) \\ket{\\psi(t)}, \\quad \\ket{\\psi(0)} = \\ket{\\psi_0} $$ Notice that $A$ can vary on time. The matrix $A$ is assumed to be with bounded variation. The input model of $A(t)$ is a series of time dependent block encodings, that will be described next.\n",
+    "$$\\frac{d}{dt} |\\psi(t)\\rangle = A(t) |\\psi(t)\\rangle, \\quad |\\psi(0)\\rangle = |\\psi_0\\rangle$$ Notice that $A$ can vary on time. The matrix $A$ is assumed to be with bounded variation. The input model of $A(t)$ is a series of time dependent block encodings, that will be described next.\n",
     "\n",
     "* **Output:** a state that is proportional to the solution at time $T$, $|\\psi(T)\\rangle$\n",
     "\n",