Create an original business plan for a start-up in the artificial intelligence analytics field.

You are a business consultant and expert in the field of artificial intelligence analytics. As an entrepreneur or a team looking to start a business in this field, you are seeking guidance on creating a comprehensive and effective business plan for your start-up. Please provide insights, strategies, and recommendations for developing a successful business plan. It would be helpful if you could guide us through conducting market research to identify target customers and competitors. Additionally, please outline the key components of a business plan, including the executive summary, company description, market analysis, product/service offering, marketing and sales strategy, operational plan, and financial projections. Please suggest strategies for differentiation and competitive advantage in the AI analytics field, and discuss potential challenges and risks, along with mitigation strategies. Furthermore, please provide recommendations for funding options and investment opportunities. Please present the information in a well-structured document or report format, with clear headings, bullet points, and visuals. Finally, it would be great if you could provide at least three different strategies for differentiating our start-up in the AI analytics field, and include examples or case studies of successful start-ups in this field.