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Chapter 12 of 16
Syllabus

Differential Equations

Maharashtra Board · Class 12 · Mathematics & Statistics

Complete topic list for Differential Equations in Maharashtra Board Class 12 Mathematics & Statistics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards5 concepts
4 Topics · Maharashtra Board Class 12 Mathematics & Statistics

Topics in Differential Equations

1

Basic Concepts and Classification

  • A differential equation contains derivatives of an unknown function
  • Order = highest derivative present in the equation
  • Degree = power of the highest order derivative (after making equation polynomial)
2

Formation of Differential Equations

  • Eliminate arbitrary constants by differentiation
  • Number of differentiations = number of arbitrary constants
  • Use determinant method for multiple constants
3

Variable Separable Differential Equations

  • Equations of form f(x)dx = g(y)dy can be separated
  • Integrate both sides independently
  • Don't forget the constant of integration
4

Homogeneous Differential Equations

  • All terms have same degree in x and y
  • Use substitution y = vx or x = vy
  • Reduces to variable separable form

Key Concepts

A differential equation is an equationOrder is the highest derivative presentProcess of creating differential equations byMethod where variables x and yEquations where all terms have

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Frequently Asked Questions

What are the important topics in Differential Equations for Maharashtra Board Class 12 Mathematics & Statistics?

Differential Equations covers several key topics that are frequently asked in Maharashtra Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.

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

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.