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Chapter 12 of 16
Syllabus

Linear Programming — Syllabus

Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce

What Linear Programming covers in Maharashtra Board Class 12 Mathematics & Statistics -Commerce: 4 topics, for the 2026-27 session.

45 questions20 flashcards5 concepts

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4 Topics · Maharashtra Board Class 12 Mathematics & Statistics -Commerce · 2026-27

Topics in Linear Programming

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 Linear Programming for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Key topics in Linear Programming include Basic Concepts and Classification, Formation of Differential Equations, Variable Separable Differential Equations, Homogeneous Differential Equations. Study these first, then practise questions on each for the Maharashtra Board Class 12 board exam.
How should I revise Linear Programming for the Maharashtra Board Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Linear Programming. Revise 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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