Hello @bakhshi
Your question is not about our plugin, you are talking about basic javascript and CSS code.
Assuming you have inserted the second form into a DIV tag with an unique ID, that is hidden by default, for example:
<div id="second_form" style="display:none;">...the second form shortcode here...</div>
as you can see the form will be hidden because it is inserted into a div tag with style="display:none;"
Now, in the first form, as part of an equation, or as the onclick event of a button, or into the structure and conditions you want, you can insert the piece of javascript code:
jQuery('#second_form').show();
and that’s all.
In the same way if you want hide the first form, insert into a DIV with an unique id:
<div id="first_form">...the first form shortcode here...</div>
and the code in this case would be:
jQuery('#first_form').hide();
Best regards.