Bootstrap collapse on radio button

Bootstrap and css only solution: Remove the panel's id and add a unique class to the class instead. Change the data-target selector for .collapseOne:not(.in) on "Yes" and .collapseOne:not.in for "No".

<h2>Bootstrap collapse panel with radio buttons</h2>

<br />
<div class="container">
  <div class="row">
    <div class="col-xs-12">
      <span>Display panel: </span>

        <input name="collapseGroup" type="radio" data-toggle="collapse" data-target=".collapseOne:not(.in)"/> Yes

        <input name="collapseGroup" type="radio" data-toggle="collapse" data-target=".collapseOne.in" checked/> No


      <div class="panel-group" id="accordion">
        <div class="panel panel-default">
          <div class="panel-heading">
            <h4 class="panel-title">
                    Header
                </h4>
          </div>
          <div class="collapseOne panel-collapse collapse">
            <div class="panel-body">
              <p>Content</p>
            </div>
          </div>
        </div>
      </div>

    </div>
  </div>
</div>

You can remove data-toggle="collapse" and data-target="#collapseOne"

Add values to your inputs value="yes" and value="no"

And hide/show collapse with javascript on input change event

$('[name="collapseGroup"]').on('change', function() {  
  if($(this).val() === "yes") {
    $('#collapseOne').collapse('show');
  } else {
    $('#collapseOne').collapse('hide');
  }
});

Codepen