Different header image for different page and category

Initially, i successfully implemented this code which enable
if its HOME, then show image X
Else show image Y for the rest of the page.

<?php if ( is_home() || is_front_page() ) : ?>

<div id="header"> <a href="<?php bloginfo('siteurl'); ?>">
  <div class="logo"></div>
  <!--end: logo-->

<?php else: ?>

   <div id="header2"> <a href="<?php bloginfo('siteurl'); ?>">
   	<div class="logo2">    </div>

  <!--end: logo-->

            <?php endif ?>
  </a>

So what I need to do now is having
different header image for HOME, pages and category.
I saw few of the codex, but I have no idea how to mix them together. it wouldn’t work.

please help.