Differential Equations — Syllabus
CUET (UG) · Mathematics
Topics covered in Differential Equations for CUET (UG) Mathematics. Understand the syllabus structure and key areas to focus on.
Differential Equations — Syllabus & Topics
Topics covered in Differential Equations for CUET (UG) Mathematics.
Topics in Differential Equations
Basic Concepts and Definitions
- A differential equation involves derivatives of dependent variables with respect to independent variables
- Order is determined by the highest derivative present
- Degree is the power of the highest order derivative (when polynomial form)
Formation of Differential Equations
- To form differential equation from general solution, differentiate and eliminate arbitrary constants
- Number of differentiations = number of arbitrary constants
- Final equation should be free from arbitrary constants
Variable Separable Method
- Applicable when equation can be written as dy/dx = f(x)g(y)
- Separate variables: dy/g(y) = f(x)dx
- Integrate both sides and add constant of integration
Homogeneous Differential Equations
- Equation of form dy/dx = f(x,y)/g(x,y) where f,g are homogeneous functions of same degree
- Substitute y = vx, so dy/dx = v + x(dv/dx)
- Equation becomes separable in variables v and x
Key Concepts
Get detailed syllabus for Differential Equations
Super Tutor gives you interactive content for every chapter of CUET (UG) Mathematics — summaries, quizzes, flashcards, and more.
Try Super Tutor — It's FreeFrequently Asked Questions
What topics are covered in Differential Equations for CUET (UG)?
Differential Equations is an important chapter in CUET (UG) Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts and Definitions, Formation of Differential Equations, Variable Separable Method, Homogeneous Differential Equations.
How important is Differential Equations for CUET (UG)?
Differential Equations is a frequently tested chapter in CUET (UG) Mathematics. Questions from this chapter appear regularly in previous year papers. There are 50 practice questions available for this chapter.
How to prepare Differential Equations for CUET (UG)?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.