Simply
<select id = 'color2'
name = 'color'
onchange = "if ($('#color2').val() == 'others') {
$('#color').show();
} else {
$('#color').hide();
}">
<option value="red">RED</option>
<option value="blue">BLUE</option>
<option value="others">others</option>
</select>
<input type = 'text'
name = 'color'
id = 'color' />
edit: requires JQuery plugin