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Differential Equations and Modeling

CBSE · Class 12 · Applied Mathematics

Quick revision notes for Differential Equations and Modeling — CBSE Class 12 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.

47 questions24 flashcards5 concepts

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Key Topics to Revise

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

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Full Notes

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?
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.

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