I am serching for date in my code. But am am not able to get it please help me it is urgent. I am new to salesforce. 

<apex:page controller="apposearchController" sidebar="false">
  <apex:form > 
     <apex:pageMessages id="errors" />
      <apex:pageBlock title="Appoinment!" mode="edit">
        <table>
            <tr>
                <td width="200" valign="top">
                <apex:pageBlock title="Parameters" mode="edit" id="criteria">
                    <script type="text/javascript">
                              function doSearch() {
                                searchServer(
                                document.getElementById("AppoinmentType").value,
                                document.getElementById("Clint").value,
                                document.getElementById("StartDate").value,
                                document.getElementById("Status").options[document.getElementById("Status").selectedIndex].value
                                );
                              }
                        </script>
                        
                        <script type="text/javascript" src="clear-default-text.js"></script>
                        
                        <apex:actionFunction name="searchServer" action="{!runSearch}" rerender="results,debug,errors">
                         <apex:param name="AppoinmentType" value="" />
                         <apex:param name="Clint" value="" />
                         <apex:param name="StartDate" value="" />
                         <apex:param name="Status" value="" />
                        </apex:actionFunction>
                         
                         <table cellpadding="2" cellspacing="2">
                             <tr>
                            <td style="font-weight:bold;">Appoinment Type<br/>
                            <input type="text" id="AppoinmentType" onkeyup="doSearch();" class="cleardefault"/>
                            </td>
                          </tr>
                          <tr>
                            <td style="font-weight:bold;">Clint<br/>
                            <input type="text" id="Clint" onkeyup="doSearch();" class="cleardefault"/>
                            </td>
                          </tr>
                          <tr>
                            <td style="font-weight:bold;">Start Date<br/>
                            <input type="text" id="StartDate" onkeyup="doSearch();" class="cleardefault"/>
                            </td>
                          </tr>
                          <tr>
                            <td style="font-weight:bold;">Status<br/>
                              <select id="Status" onchange="doSearch();">
                                <option value=""></option>
                                <apex:repeat value="{!Status}" var="tech">
                                  <option value="{!tech}">{!tech}</option>
                                </apex:repeat>
                              </select>
                            </td>
                          </tr>
                        </table>
                </apex:pageBlock>
                </td>
                <td valign="top">
                    <apex:pageBlock mode="edit" id="results">
                         <apex:pageBlockTable value="{!Appoinment}" var="Appointment">
                             <apex:column >
                <apex:facet name="header">
                    <apex:commandLink value="AppoinmentType" action="{!toggleSort}" rerender="results,debug">
                        <apex:param name="sortField" value="Appointment_Type__c" assignTo="{!sortField}"/>
                    </apex:commandLink>
                </apex:facet>
                <apex:outputField value="{!Appointment.Appointment_Type__c}"/>
            </apex:column>
 
            <apex:column >
                <apex:facet name="header">
                    <apex:commandLink value="Clint" action="{!toggleSort}" rerender="results,debug">
                        <apex:param name="sortField" value="Client__c" assignTo="{!sortField}"/>
                    </apex:commandLink>
                </apex:facet>
                <apex:outputField value="{!Appointment.Client__c}"/>
            </apex:column>
 
            <apex:column >
                <apex:facet name="header">
                    <apex:commandLink value="StartDate" action="{!toggleSort}" rerender="results,debug">
                        <apex:param name="sortField" value="Start_Date__c" assignTo="{!sortField}"/>
                    </apex:commandLink>
                </apex:facet>
                <apex:outputField value="{!Appointment.Start_Date__c}"/>
            </apex:column>
 
            <apex:column >
                <apex:facet name="header">
                    <apex:commandLink value="Status" action="{!toggleSort}" rerender="results,debug">
                        <apex:param name="sortField" value="Status__c" assignTo="{!sortField}"/>
                    </apex:commandLink>
                </apex:facet>
                <apex:outputField value="{!Appointment.Status__c}"/>
            </apex:column>
                         </apex:pageBlockTable>
                    </apex:pageBlock>
                </td>
            </tr>
        </table>      
    
           <apex:pageBlock title="Debug - SOQL" id="debug">
              <apex:outputText value="{!debugSoql}" />           
          </apex:pageBlock>
          

          
          </apex:pageBlock>
    
  </apex:form>
</apex:page>

public class apposearchController
{
    public List<Appointment1__c> Appoinment{get;set;}
    private String soql {get;set;}
    public String technologies { get; set; }
    
    public String sortDir 
    {
        get  { if (sortDir == null) {  sortDir = 'asc'; }  
       
        return sortDir;
      }
        
        set;
    }
    
    public String sortField {
    get  { if (sortField == null) {sortField = 'Appointment_Type__c'; } 
     
     return sortField; 
     }
   
    set;
    }
    
    public String debugSoql {
    get { return soql + ' order by ' + sortField + ' ' + sortDir + ' limit 20'; }
    set;
      }
      
    public apposearchController() {
    //delete(soql);
    soql = 'select Appointment_Type__c, Client__c, Start_Date__c, Status__c, Client_First_Name__c from Appointment1__c where Client_First_Name__c!= null';
    System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++Appoinment '+ Appoinment);
    System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++'+ soql  );
    runQuery();
      }
        
     public void toggleSort() 
    {
        sortDir = sortDir.equals('asc') ? 'desc' : 'asc';
         
        runQuery();
        
    }

  //  public List<Appointment1__c> appo {get;set;}

    public String getStatus() {
        return null;
    }


    public void runQuery() {
         try
     {
     string a=soql + ' order by ' + sortField + ' ' + sortDir + ' limit 20';
     system.debug(a);
      Appoinment = Database.query(soql + ' order by ' + sortField + ' ' + sortDir + ' limit 20');
      System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++contacts '+ Appoinment);
     } 
    catch (Exception e) 
    {
      ApexPages.addMessage(new ApexPages.Message(ApexPages.Severity.ERROR, 'Ooops!'));
    }
 
   }
   
    public PageReference runSearch() 
    {
    
     String AppoinmentType;
     String Clint;
     string StartDate;
     String Status;
        
     AppoinmentType = Apexpages.currentPage().getParameters().get('AppoinmentType');
     System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++AppoinmentType '+ AppoinmentType);
     Clint = Apexpages.currentPage().getParameters().get('Clint');
     System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++Clint '+ Clint);
     
    // StartDate = Apexpages.currentPage().getParameters().get('StartDate');
   //  Datetime myDate = datetime.valueOf(StartDate);
   //  System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++PaccountName '+ StartDate);
  //  String technology = Apexpages.currentPage().getParameters().get('technology');
 
    soql = 'select Appointment_Type__c, Client__c, Start_Date__c, Status__c, Client_First_Name__c from Appointment1__c where Client_First_Name__c != null';
   
    if (!AppoinmentType.equals(''))
      soql += ' and Appointment_Type__c  LIKE \''+String.escapeSingleQuotes(AppoinmentType)+'%\'';
      System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++AppoinmentType '+ AppoinmentType);
    if (!Clint.equals(''))
      soql += ' and Client_First_Name__c  LIKE \''+String.escapeSingleQuotes(Clint)+'%\'';
      System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++Clint '+ Clint);
    // if (!myDate.equals(''))
    //  soql += ' and Start_Date__c LIKE \''+Datetime.escapeSingleQuotes(myDate)+'%\'';  
    //  System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++accountName'+ StartDate);
     if (!Status.equals(''))
      soql += ' and Status__c includes (\''+Status+'\')'; 
      System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++Status'+ Status);
      
        runQuery();
        return null;
     }   
        public List<String> Status
        {
            get 
            {
            if (Status == null) 
            {
     
            Status = new List<String>();
            Schema.DescribeFieldResult field = Appointment1__c.Status__c.getDescribe();
     
            for (Schema.PicklistEntry f : field.getPicklistValues())
              Status.add(f.getLabel());
     
          }
          return Status;          
        }
        set;
        
    }

}

 This is how i did. 

The problem is in :

if (!myDate.equals(''))
soql += ' and Start_Date__c LIKE \''+Datetime.escapeSingleQuotes(myDate)+'%\'';    System.debug('++++++++++++++++++++++++++++++++++++++++++++++++++++++++accountName'+ StartDate);

 please help me 

Thanks 

Anuraj