Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.
A cup of tea cools quickly at first and then more slowly. The speed of cooling depends on how hot the tea is right now. A rule that links a quantity to its own rate of change is a differential equation. In this chapter you name and form such equations, solve the first-order ones by separating the variables, by a substitution or by an integrating factor, and use them to model growth, decay, cooling and mixing. It covers the unit of the Indian syllabus (NCERT, JEE Main) and the matching topics of A-Level, IB and AP. Python draws direction fields and follows solutions step by step.