<input id="new_radio_button" class="radio_new_old_own" type="radio" name="rdSpace" value="new" checked="">

<input type="text" id="old_dom_sld" name="old_check" placeholder="old">

<input id="old_radio_button" class="radio_new_old_own" type="radio" name="rdSpace" value="old">

<input type="text" id="new_dom_sld" name="new_check" placeholder="new">

<script>
    $(document).ready(function(){
        $(".radio_new_old_own").click(function(){
            if($(this).attr("value")=="new"){
               $("#new").show();
               $("#old").hide();
               $("#span_cover_old_dom_sld").val('');
          }
           if($(this).attr("value")=="old"){
               $("#old").show();
               $("#new").hide();
               $("#span_cover_new_dom_sld").val('');
        }
    });
});
</script>