This addon will allow you to render using eevee and get similiar lighting condition result with cycles (especially in dynamic light condition).

Basically this addon will bake your lighting and then render that frame, and so on going until your last frame. So Your lighting will updated each frame

Of course, it will help a low spec pc to render animation using eevee rather than using cycles ( which take much more time to render).

The blender is actually not crashing. It's actually working in background. You can check that in your render folder destination that your animation/frame actually rendered frame by frame.