IDs must be unique, so use instead: (and close all UL tags)
<ul>
<li>
<a class="left-menu">Test</a>
<ul style="display: none" class="submenu">
<li>test</li>
<li>test</li>
</ul>
</li>
<li>
<a class="left-menu active">Test 2 </a>
<ul style="display: none" class="submenu">
<li>test</li>
<li>test</li>
</ul>
</li>
</ul>
And then:
jQuery(document).ready(function($) {
$(".left-menu.active").next('.submenu').show();
});
BTW, you could use: $(".left-menu.active").next('.submenu').show();
3
solved query add .css if div has active class