ixen, код рабочий вы что-то недоговариваите.
<!doctype html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>accordion demo</title>
<link rel="stylesheet" href="http://code.jquery.com/ui/1.10.4/themes/smoothness/jquery-ui.css">
<script src="http://code.jquery.com/jquery-1.10.2.js"></script>
<script src="http://code.jquery.com/ui/1.10.4/jquery-ui.js"></script>
</head>
<body>
<div id="gruppa">
<h3>Section 1</h3>
<div>
<p>Mauris mauris ante, blandit et, ultrices a, suscipit eget.
Integer ut neque. Vivamus nisi metus, molestie vel, gravida in,
condimentum sit amet, nunc. Nam a nibh. Donec suscipit eros.
Nam mi. Proin viverra leo ut odio.</p>
</div>
<h3>Section 2</h3>
<div>
<p>Sed non urna. Phasellus eu ligula. Vestibulum sit amet purus.
Vivamus hendrerit, dolor aliquet laoreet, mauris turpis velit,
faucibus interdum tellus libero ac justo.</p>
</div>
<h3>Section 3</h3>
<div>
<p>Nam enim risus, molestie et, porta ac, aliquam ac, risus.
Quisque lobortis.Phasellus pellentesque purus in massa.</p>
<ul>
<li>List item one</li>
<li>List item two</li>
<li>List item three</li>
</ul>
</div>
</div>
<script>
var last_cat=2;
$( "#gruppa" ).accordion({
collapsible: false,
heightStyle: "content",
animate: 250,
active: last_cat
});
</script>
</body>
</html>
