IITJEE Mains • Mathematics New Syllabus
Module 09: Differential Equations Hub
Master the mathematics of changing systems. Explore the formation of equations, order and degree, and techniques to solve variable separable, homogeneous, and linear differential equations.
Topic 1.1 • Fundamentals
Order, Degree, and the Formation of Differential Equations
Topic 1.2 • Separation
Variable Separable Form and Equations Reducible to it
Topic 2.1 • Homogeneous
Homogeneous Differential Equations and their Complete Solutions
Topic 2.2 • Linear DEs
First-Order Linear Differential Equations and Integrating Factors
Topic 3.1 • Reducible Forms
Bernoulli’s Equation and Reduction to Linear Differential Form
Topic 3.2 • Exact Equations
Exact Differential Equations and Finding Integrating Factors via Inspection
Topic 4.1 • Geometry
Geometrical Applications: Orthogonal Trajectories, Tangents, and Normals
Topic 4.2 • Applications