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Linear Programming

Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce

Quick revision notes for Linear Programming — Maharashtra Board Class 12 Mathematics & Statistics -Commerce. Key concepts, formulas, and definitions for last-minute revision.

45 questions20 flashcards5 concepts

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Key Topics to Revise

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

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Full Notes

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

Frequently Asked Questions

What are the important topics in Linear Programming for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Linear Programming 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 Linear Programming — 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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