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Differential Equations

Telangana Board · Class 12 · Mathematics

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

44 questions20 flashcards5 concepts

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Key Topics to Revise

1

Fundamentals of Differential Equations

  • A differential equation contains derivatives like dy/dx, d²y/dx², etc.
  • Order is determined by the highest derivative present
  • Degree is the power of the highest order derivative after clearing fractions and radicals
2

Formation of Differential Equations

  • Eliminate arbitrary constants by differentiation
  • Number of differentiations = number of arbitrary constants
  • Use algebraic manipulation to eliminate constants
3

Variable Separable Differential Equations

  • Type 1: dy/dx = f(x) - Direct integration
  • Type 2: dy/dx = f(x)g(y) - Separate variables and integrate
  • Rearrange to get all x terms on one side, all y terms on other
4

Homogeneous Differential Equations

  • Form: dy/dx = f(y/x) where f is homogeneous of degree zero
  • Substitute y = vx, where v is a function of x
  • This gives dy/dx = v + x(dv/dx)

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Full Notes

Key Concepts

A differential equation contains derivativesTo form differential equation from equationFor equations like dy/dx = f(x)g(y)Equation dy/dx = f(y/x) is homogeneousEquation dy/dx + Py = Q

Frequently Asked Questions

What are the important topics in Differential Equations for Telangana Board Class 12 Mathematics?
Differential Equations covers several key topics that are frequently asked in Telangana 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 Equations — Telangana Board Class 12 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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