Laravel multiple submit button with different actions

On the form or view

<button type="submit" class="btn btn-primary" name="submit" value="submit">Save & Go BACK</button>
<button type="submit" class="btn btn-primary" name="save" value ="save">Save Note</button>

On the controller

namespace App\Http\Controllers;

use Illuminate\Http\Request;
use App\Note;
use App\Card;
use Illuminate\Support\Facades\Validator;
use Illuminate\Support\Facades\Input;
use App\Http\Requests;

class NotesController extends Controller
{
   public function store(Request $request, Card $card){
      $card->addNote(new Note($request->all()));
      return back();
   }
   
   public function edit(Note $note){
      return view('note.edit', ['note' => $note]);
   }

   public function update(Note $note, Request $request){
      if(Input::get('submit')) {
          $note->update($request->all());
          return redirect('/card/'.$note->card_id); //save and go back to card
      
      }else if(Input::get('save')){
          $note->update($request->all()); //save and stay on the page
          return back();
      }
   }
}