Class 12 NCERT • Mathematics Part 2 (New Syllabus)
Mathematics Part 2 Ch 09: Differential Equations
Select a topic or study module below to explore order and degree, general and particular solutions, formation of differential equations, separation of variables, homogeneous differential equations, linear differential equations, and comprehensive textbook problem solutions.
Topic 01 • Order & Degree
Exploring Definitions of Differential Equations, Determining Order, Degree, and Polynomial Restrictions on Derivatives
Topic 02 • General & Particular Solutions
Analyzing Verification of Solutions, Arbitrary Constants, Initial Value Conditions, and Geometric Interpretations
Topic 03 • Formation of Equations
Studying Family of Curves, Eliminating Arbitrary Constants, and Matching Equation Order with Number of Constants
Topic 04 • Separation of Variables
Investigating Equations Reducible to Variable Separable Form, Grouping x and y terms, and Integrating Both Sides
Topic 05 • Homogeneous Equations
Examining Homogeneous Functions of Degree Zero, Substitutions y = vx or x = vy, and Solving Reducible Forms
Topic 06 • Linear Differential Equations
Analyzing Standard Forms dy/dx + Py = Q and dx/dy + Px = Q, Integrating Factors (IF)
Topic 07 • Applications & Growth Models
Studying Population Growth Models, Radioactive Decay, Compound Interest, and Orthogonal Trajectories
Module 08 • Solutions & Chapter Review