You need to go Studio->Developer->Pages->System area and choose there the Homepage. Then press "Add blocks" button. In the appeared Popup choose "service" block. Then edit this new block^ set the value "Timeline" for field "Module* and enter to the "Code" field the following code:

array (

  'module' => 'bx_timeline',

  'method' => 'get_block_view_profile',

  'params' => 

  array (

    0 => 'bx_persons',

    1 => {member_id}

  ),

Make this block visible only for registered persons (because {type} can be defined only in the profile view page).