The discussion emphasizes the need for resources on differential equations that go beyond simple recipes and delve into theoretical aspects. Arnold's book is noted for its strong reputation in this area. Ross's differential equations book is recommended for its balance of theory and problem-solving, although it is not considered advanced. Hartman's text is also well-regarded, alongside the works of Hirsch and Smale, which are highlighted as superb resources. Additionally, Boyce and DiPrima's book is mentioned as a longstanding and reliable option in the field. These recommendations reflect a desire for comprehensive understanding in differential equations, combining both theoretical foundations and practical applications.