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Differential Equations and Modeling

CBSE · Class 12 · Applied Mathematics

Complete topic list for Differential Equations and Modeling in CBSE Class 12 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

47 questions24 flashcards5 concepts

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4 Topics · CBSE Class 12 Applied Mathematics

Topics in Differential Equations and Modeling

1

Basic Concepts - Order and Degree

  • A differential equation involves derivatives of dependent variable with respect to independent variable(s)
  • Ordinary differential equations have derivatives with respect to only one independent variable
  • Order is the highest derivative present in the equation
2

Solutions of Differential Equations

  • General solution contains arbitrary constants equal to the order of equation
  • Particular solution has no arbitrary constants, obtained by giving specific values
  • Solution curve represents the graph of solution function
3

Formation of Differential Equations

  • Start with equation containing arbitrary constants (parameters)
  • Differentiate enough times to match number of constants
  • Eliminate constants from the system of equations
4

Solving Simple Differential Equations

  • Variable separable equations: dy/dx = f(x)g(y)
  • Separate variables: dy/g(y) = f(x)dx
  • Integrate both sides independently

Key Concepts

An equation involving derivatives ofThe order is determined byThe degree is the highest powerA solution containing arbitrary constants equalA solution obtained by assigning specific

Frequently Asked Questions

What are the important topics in Differential Equations and Modeling for CBSE Class 12 Applied Mathematics?
Differential Equations and Modeling covers several key topics that are frequently asked in CBSE 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 and Modeling — CBSE Class 12 Applied Mathematics?
Understand the core concepts first, then work through the 47 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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All 10 chapters — CBSE Class 12 Applied Mathematics Syllabus

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