Many Veterans with post-traumatic stress disorder (PTSD) do not fully benefit from the best current treatments, some of which focus on helping the brain regulate trauma memories. While therapies like Prolonged Exposure and Written Exposure Therapy work for many, about half of Veterans still struggle with symptoms even after treatment. Research suggests that methylphenidate (commonly known as Ritalin), a safe and widely used medication, may improve PTSD symptoms and related mechanisms. This project will test whether adding methylphenidate to Written Exposure Therapy will result in a greater reduction in PTSD symptoms compared to Written Exposure Therapy alone. The investigators will also study body and behavior markers to better understand how and why some Veterans respond to treatment. If successful, this approach could give providers a new, practical tool to improve recovery from PTSD. Ultimately, this work could lead to more personalized, effective care for Veterans, helping them return to fuller and healthier lives.