how to update table laravel 5.1

hey everyone im trying to use form to update my users table in my DB here is my form

<form method="POST" action="/profile/update">
    <div class="form-group hidden">
        <input type="hidden" name="_token" value="">
        <input type="hidden" name="id" value="<?php echo $user->id;?>">
        <input type="hidden" name="_method" value="PATCH">
    </div>
    <div class="form-group">
        <label for="email"><b>Name:</b></label>
        <input type="text" name="name" placeholder="Please enter your email here" class="form-control" value="<?php echo $user->name;?>"/>
    </div>
    <div class="form-group">
        <label for="email"><b>Email:</b></label>
        <input type="text" name="email" placeholder="Please enter your email here" class="form-control" value="<?php echo $user->email;?>"/>
    </div>
    <div class="form-group">
        <button type="submit" class="btn btn-default"> Submit </button>
    </div>
</form>

here is my controller

<?php

namespace App\Http\Controllers;

use Auth;
use App\User;
use Illuminate\Http\Request;

use App\Http\Controllers\Controller;

class ProfileController extends Controller
{
    /**
     * Update user profile & make backend push to DB
    **/

    public function index() {

        // connecting to the DB and accessing
        $user = Auth::user();
        //var_dump($user);
        return view('profile', compact('user'));

    }

    public function update(Request $request) {

        $request->only('name','email');
        return back();
    }
}

my update method will handle the request but im not sure how to pass that data to my user table

via Chebli Mohamed