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Differential Equation and Applications

Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce

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

45 questions20 flashcards5 concepts

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4 Topics · Maharashtra Board Class 12 Mathematics & Statistics -Commerce

Topics in Differential Equation and Applications

1

Basic Concepts and Definitions

  • A differential equation contains dependent variables, independent variables, and derivatives
  • Order is determined by the highest derivative present
  • Degree is the power of the highest order derivative when freed from fractions/radicals
2

Formation of Differential Equations

  • Eliminate arbitrary constants by differentiation
  • Number of differentiations = number of arbitrary constants
  • Use algebraic manipulation to eliminate constants between original and differentiated equations
3

Variable Separable Method

  • Separate variables so all terms with x are on one side, all terms with y on the other
  • Write in form f(x)dx = g(y)dy
  • Integrate both sides independently
4

Homogeneous Differential Equations

  • Equation is homogeneous if f(x,y) and g(x,y) have the same degree
  • Use substitution y = vx where v is a new variable
  • This converts the equation to variable separable form

Key Concepts

An equation involving dependent variable(s)Order is the highest derivative presentUsed when equation can be writtenEquations where f(xForm

Frequently Asked Questions

What are the important topics in Differential Equation and Applications for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Differential Equation and Applications 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.
How to score full marks in Differential Equation and Applications — Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

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

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