Differential equations • English Conversation Questions

What are differential equations and how are they used in mathematical modeling?
Can you explain the concept of a solution to a differential equation?
What are the most common types of differential equations?
How are differential equations used in the field of physics?
What are some methods for solving differential equations?
Can you explain the difference between a first-order and a second-order differential equation?
What are some common applications of differential equations in engineering?
Can you explain the concept of a partial differential equation?
What are some challenges in solving nonlinear differential equations?
What are some software packages commonly used to solve differential equations?
How do differential equations relate to calculus and the concept of a derivative?