Chapter 17 of 27
Important Topics
Differential Equations — Important Topics
KEAM · Mathematics
Most important topics from Differential Equations for KEAM Mathematics. Focus on these high-weightage areas for maximum score.
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See them allDifferential Equations — Syllabus & Topics
Topics covered in Differential Equations for KEAM Mathematics.
Topics in Differential Equations
1
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)
2
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
3
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
4
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
A differential equation is an equationUsed when dy/dx = f(x)g(y)When dy/dx = F(y/x)Form
Frequently Asked Questions
What topics are covered in Differential Equations for KEAM?
Differential Equations is an important chapter in KEAM 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 KEAM?
Differential Equations is a frequently tested chapter in KEAM Mathematics. Questions from this chapter appear regularly in previous year papers. There are 328 practice questions available for this chapter.
How to prepare Differential Equations for KEAM?
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.
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