SymPy Example.ipynb

sympy-example.ipynb

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      "metadata": {
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      "source": [
        "# [SymPy](https://www.sympy.org) Example Notebook\n",
        "\n",
        "Import SymPy used functions"
      ]
    },
    {
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        "id": "aEi3iSs853jM",
        "colab_type": "code",
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      "source": [
        "from sympy import init_printing, Eq\n",
        "from sympy.abc import x, f, lamda\n",
        "from sympy.solvers import solve"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "gRmyv2ZyE2fz",
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      "cell_type": "markdown",
      "source": [
        "Setup colab LaTeX printing boilerplate"
      ]
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      "source": [
        "def custom_latex_printer(exp, **options):\n",
        "    from google.colab.output._publish import javascript\n",
        "    from sympy.printing import latex\n",
        "    url = \"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.3/latest.js?config=default\"\n",
        "    javascript(url=url)\n",
        "    return latex(exp, **options)\n",
        "\n",
        "init_printing(use_latex=\"mathjax\", latex_printer=custom_latex_printer)"
      ],
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      "outputs": []
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      "metadata": {
        "id": "DUD7LhZFFop0",
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      "cell_type": "markdown",
      "source": [
        "Define a quadratic equation for $x$ with parameter $\\lambda$ that can take specific values for $\\lambda\\in[0,20]$ or find a solution containing $\\lambda$ as a parameter (comment line `3` with `#`)"
      ]
    },
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      "source": [
        "#@title Quadratic equation parameter { run: \"auto\" }\n",
        "# comment the line bellow for parametric solution\n",
        "lamda = 18 #@param {type:\"slider\", min:0, max:20, step:1}\n",
        "\n",
        "f = Eq(lamda * x ** 2 + x - lamda, -17)\n",
        "display(f)\n",
        "\n",
        "solve(f, x)"
      ],
      "execution_count": 0,
      "outputs": [
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          "data": {
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              "<script src='https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.3/latest.js?config=default'></script>"
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        {
          "output_type": "display_data",
          "data": {
            "text/latex": "$$18 x^{2} + x - 18 = -17$$",
            "text/plain": [
              "    2               \n",
              "18⋅x  + x - 18 = -17"
            ]
          },
          "metadata": {
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          "data": {
            "text/latex": "$$\\left [ - \\frac{1}{36} + \\frac{\\sqrt{73}}{36}, \\quad - \\frac{\\sqrt{73}}{36} - \\frac{1}{36}\\right ]$$",
            "text/plain": [
              "⎡  1    √73    √73   1 ⎤\n",
              "⎢- ── + ───, - ─── - ──⎥\n",
              "⎣  36    36     36   36⎦"
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