Than, open you header.php file from you active theme and instead calling the link as you normally do, paste the following code within the head tag:
<!--home page custom JS-->
This is a simple HTML comment to keep organized or to make the life easier to other developers who might have to work with your code.
Additionally, you can have more pages like that inclusive a page id (please replace just this line in the code from above):
if (is_page('home') || is_page('contact') || is_page('45')
Or sections as:
For more options please refer to WordPress Conditional Tags
The only plug-ins you can target, are those which use wp_enqueue_script and you need to find the handle for that specific plugin by browsing it’s main .php file.
Justin Tadlock on his blog, offers a more in depth tutorial regarding this matter.