Change navbar background based on page

I want to change the background color of my navbar to make it transparent on my home page but leave it black on the rest of the pages but I have no idea where to start. All of my css is in one file. None of the pages have a header section. My header.php code follows:

<!DOCTYPE html>
<html lang="en">
<head>
  <meta charset="UTF-8">
  <meta name="viewport" content="width=device-width, height=device-height, initial-scale=1.0">
  <title>Foxclone backup and cloning utility</title>  
  <meta name="description" content= "FoxClone is a Linux based image backup, restore and clone tool using a simple point and click interface." />
  <meta name="robots" content= "index, follow">
    </head>
    <body>
    	
    		     <!-- Navbar -->
    		<nav class="navbar">
          
    			<div class="navbar-links">
    			  <ul>
    				<li><a href="index.php">Home</a></li>
    				<li><a href="features.php">Features</a></li>
    				<li><a href="legal.php">Legal</a></li>
    				<li><a href="contact.php">Contact</a></li>
    				<li><a href="download.php">Downloads</a></li>
    			  </ul>
    			</div>
    		</nav>

The navbar.css follows:

.fixed-top {
  position: fixed;
  top: 0;
  right: 0;
  left: 0;
  box-sizing: border-box;
  z-index: 1030;
}

.navbar {
  position:fixed;
  width: 100%;
  display: flex;
  background: black;
  height: 30px;
  justify-content: flex-end;
  flex: 0 1 60vw;
}
.brand-title {
    font-size: 1.5rem;
    margin: .25rem;
}

.navbar-links {
    height: 100%;
    }

.navbar-links ul {
    display: flex;
    margin: 0;
    padding: 0;
}

.navbar-links li {
    list-style: none;
}

.navbar-links li a {
  font-weight:bold;
  display: block;
  background: transparent;
  color: #FFEB3B;
  text-align: center;
  padding: .2rem 1rem 0 1rem;
  text-decoration: none;
}

.navbar-links li:hover {
    background-color: blue;
}

.toggle-button {
    position: absolute;
    top: .75rem;
    right: 1rem;
    display: none;
    flex-direction: column;
    justify-content: space-between;
    width: 30px;
    height: 21px;
}

EDIT:
Could I use the following in header.php to modify the background of the navbar?

 if(basename($_SERVER['REQUEST_URI']) == 'index' {
     .navbar
         background: transparent;
} 

Thanks in advance.

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