I got its answer. Here is my code
<label for="db">Choose type</label>
<select name="dbType" id=dbType">
<option>Choose Database Type</option>
<option value="oracle">Oracle</option>
<option value="mssql">MS SQL</option>
<option value="mysql">MySQL</option>
<option value="other">Other</option>
</select>
<div id="other" class="selectDBType" style="display:none;">
<label for="specify">Specify</label>
<input type="text" name="specify" placeholder="Specify Databse Type"/>
</div>
And my script is
$(function() {
$('#dbType').change(function() {
$('.selectDBType').slideUp("slow");
$('#' + $(this).val()).slideDown("slow");
});
});