To show all visible by default layers:dynamicLayer.visibleLayers = null;
To hide all layers set empty collection:dynamicLayer.visibleLayers = new ArrayCollection();
To show all layers:dynamicLayer.visibleLayers = new ArrayCollection([array of all layers id's]);;
example:<?xml version="1.0" encoding="utf-8"?>
<s:Application xmlns:fx="http://ns.adobe.com/mxml/2009"
      xmlns:s="library://ns.adobe.com/flex/spark"
      xmlns:mx="library://ns.adobe.com/flex/mx"
      xmlns:esri="http://www.esri.com/2008/ags">
 
 <s:layout>
  <s:HorizontalLayout paddingBottom="10"
       paddingLeft="10"
       paddingRight="10"
       paddingTop="10"/>
 </s:layout>
 
 <fx:Script>
  <![CDATA[
   import com.esri.ags.events.LayerEvent;
   import com.esri.ags.layers.supportClasses.LayerInfo;
   
   import mx.collections.ArrayCollection;
   
   [Bindable]
   private var layersList:ArrayCollection = null;
   [Bindable]
   private var visibleLayers:ArrayCollection = null;
   
   protected function onShowAllClick(event:MouseEvent):void
   {
    visibleLayers = null;
    dlayer.refresh();
   }
   
   protected function onHideAllClick(event:MouseEvent):void
   {
    visibleLayers = new ArrayCollection();
    dlayer.refresh();
   }
   
   protected function onShowSelectedClick(event:MouseEvent):void
   {
    var selectedLayer:LayerInfo = ddlLayers.selectedItem as LayerInfo;
    visibleLayers = new ArrayCollection([selectedLayer.layerId]);
    dlayer.refresh();
   }
   protected function onLayerLoad(event:LayerEvent):void
   {
    layersList = new ArrayCollection(dlayer.layerInfos);
    ddlLayers.selectedIndex = 0;
   }
  ]]>
 </fx:Script>
 
 <s:Panel width="100%"
    height="100%"
    title="Map"> 
  
  <esri:Map id="map">
   <esri:extent>
    <esri:Extent id="lowerManhattan"
        xmin="-8239000" ymin="4968000" xmax="-8235000" ymax="4971000">
     <esri:SpatialReference wkid="102100"/>
    </esri:Extent>
   </esri:extent>
   
   <esri:ArcGISTiledMapServiceLayer name="Base layer - tiled" 
            url="http://server.arcgisonline.com/ArcGIS/rest/services/World_Street_Map/MapServer"/>
   
   <esri:ArcGISDynamicMapServiceLayer id="dlayer" 
              name="Demographics layer - dynamic"
              visibleLayers="{visibleLayers}"
              load="onLayerLoad(event)"
              url="http://sampleserver1.arcgisonline.com/ArcGIS/rest/services/Demographics/ESRI_Census_USA/MapServer" />
  </esri:Map>
  
 </s:Panel>
 
 <s:Panel width="300"
    height="100%"
    title="Filters">
  
  <s:VGroup paddingBottom="5"
      paddingLeft="5" 
      paddingRight="5"
      paddingTop="5" 
      gap="10">
   
   <s:Button id="btnShowAll" 
       label="Show all layers"
       click="onShowAllClick(event)"/>
   
   <s:DropDownList id="ddlLayers" 
       width="100%"
       dataProvider="{layersList}"
       labelField="name" />
   
   <s:Button id="btnShowSelected" 
       label="Show selected layer"
       click="onShowSelectedClick(event)"/>
   
   <s:Button id="btnHideAll" 
       label="Hide all layers"
       click="onHideAllClick(event)"/>
  </s:VGroup>
  
 </s:Panel>
 
</s:Application>