Differential Equations
Kerala Board · Class 12 · Mathematics
Complete topic list for Differential Equations in Kerala Board Class 12 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.
Topics in Differential Equations
Fundamentals of Differential Equations
- A differential equation contains derivatives like dy/dx, d²y/dx², etc.
- Order is determined by the highest derivative present
- Degree is the power of the highest order derivative after clearing fractions and radicals
Formation of Differential Equations
- Eliminate arbitrary constants by differentiation
- Number of differentiations = number of arbitrary constants
- Use algebraic manipulation to eliminate constants
Variable Separable Differential Equations
- Type 1: dy/dx = f(x) - Direct integration
- Type 2: dy/dx = f(x)g(y) - Separate variables and integrate
- Rearrange to get all x terms on one side, all y terms on other
Homogeneous Differential Equations
- Form: dy/dx = f(y/x) where f is homogeneous of degree zero
- Substitute y = vx, where v is a function of x
- This gives dy/dx = v + x(dv/dx)
Key Concepts
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What are the important topics in Differential Equations for Kerala Board Class 12 Mathematics?
Differential Equations covers several key topics that are frequently asked in Kerala Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Differential Equations — Kerala Board Class 12 Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.
Sources & Official References
- Kerala Board of Public Examinations — keralapareekshabhavan.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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