Just because your child is diagnosed with a disability does not mean that he/she cannot attend private school. Public school districts are required to spend a proportionate share of their federal special education funds for students with disabilities parentally placed in private schools, to fund service plans. Public school districts are required to meet with the administrators of private institutions in their area at least annually to discuss what services they will provide.
Parents may decide to enroll their children in home school programs for a variety of reasons. Some feel their child needs the small structured environment of home. Some do not want their child exposed to the standardized requirements of a public school. Some need to avoid social situations. It could be that the child is involved in an activity that requires them to have an extremely flexible schedule.
If you believe your home-schooled child has a learning difficulty, you have the right to an evaluation and to seek services from your local public school district. However, the school district is not required to provide services to home-schooled children.