Trigger a button click with JavaScript on the Enter key in a text box

In jQuery, the following would work:

$("#id_of_textbox").keyup(function(event) {
    if (event.keyCode === 13) {
        $("#id_of_button").click();
    }
});

$("#pw").keyup(function(event) {
    if (event.keyCode === 13) {
        $("#myButton").click();
    }
});

$("#myButton").click(function() {
  alert("Button code executed.");
});
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>

Username:<input id="username" type="text"><br>
Password:&nbsp;<input id="pw" type="password"><br>
<button id="myButton">Submit</button>

Or in plain JavaScript, the following would work:

document.getElementById("id_of_textbox")
    .addEventListener("keyup", function(event) {
    event.preventDefault();
    if (event.keyCode === 13) {
        document.getElementById("id_of_button").click();
    }
});

document.getElementById("pw")
    .addEventListener("keyup", function(event) {
    event.preventDefault();
    if (event.keyCode === 13) {
        document.getElementById("myButton").click();
    }
});

function buttonCode()
{
  alert("Button code executed.");
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>

Username:<input id="username" type="text"><br>
Password:&nbsp;<input id="pw" type="password"><br>
<button id="myButton" onclick="buttonCode()">Submit</button>

Figured this out:

<input type="text" id="txtSearch" onkeypress="return searchKeyPress(event);" />
<input type="button" id="btnSearch" Value="Search" onclick="doSomething();" />

<script>
function searchKeyPress(e)
{
    // look for window.event in case event isn't passed in
    e = e || window.event;
    if (e.keyCode == 13)
    {
        document.getElementById('btnSearch').click();
        return false;
    }
    return true;
}
</script>

Then just code it in!

<input type = "text"
       id = "txtSearch" 
       onkeydown = "if (event.keyCode == 13)
                        document.getElementById('btnSearch').click()"    
/>

<input type = "button"
       id = "btnSearch"
       value = "Search"
       onclick = "doSomething();"
/>