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   "source": [
    "# Task 11\n",
    "\n",
    "**deadline: 16/05/2021 23:59 CET**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**[0.75 points]:** Solve the following ordinary differential equation,\n",
    "\n",
    "$$\n",
    "x^2 y^{\\prime \\prime} - 5 x y^{\\prime} + 8 y = 0, \\quad x \\in \\left[ 1, \\, 2 \\right], \\quad y \\left( 1 \\right) = 0, \\quad y \\left( 2 \\right) = 24.\n",
    "$$\n",
    "\n",
    "using the shooting method with a partition of size $ N = 10 $ and print the vector of solution.\n",
    "\n",
    "**[0.25 points]:** Plot the solution obtained by the shooting method as well as the analytical solution\n",
    "\n",
    "$$\n",
    "y \\left( x \\right) = 2 \\left( x^4 - x^2 \\right)\n",
    "$$\n",
    "    \n",
    "in the interval $ x \\in [1, \\, 2] $."
   ]
  },
  {
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   "execution_count": null,
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   "outputs": [],
   "source": [
    "\n",
    "# add your code here\n"
   ]
  }
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