Differential Equations: Solutions (Level 2 of 4)

This video tutorial covers the process of verifying solutions to ordinary differential equations (ODEs) and determining appropriate intervals of definition. It includes three examples: a first order ODE, a nonlinear ODE, and a complex ODE. Each example demonstrates finding derivatives, substituting into the ODE, and simplifying to verify solutions. The video also discusses determining intervals of definition based on the domain and differentiability of the solutions.

How do vertical asymptotes affect the intervals of definition for a function?

What are the implications of a function being undefined at certain points when determining its interval of definition?

What is the relationship between a function's differentiability and its interval of definition?