JSFiddle - React, Tailwind, and code Playground

HTML

<label class="radio-inline">
    <input type="radio" value="Y" name="IsLive" class="grey"> YES
</label>
<label class="radio-inline">
    <input type="radio" value="N" name="IsLive" class="grey"> NO
</label>

<label class="col-sm-2 control-label">
    Live Date
</label>
<div class="col-sm-3">
    <input type="text" id="LiveDate" name="LiveDate" class="form-control date-picker" disabled="true">
</div>

CSS

label {
    display: block;
}

JavaScript

$('input:radio[name="IsLive"]').change(function() {
    $("#LiveDate").prop("disabled", this.value != 'Y');
});