Skip to main content
Super TutorResources
Chapter 15 of 16
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Revision Notes

Differential Equation and Applications

Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce

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

45 questions20 flashcards5 concepts

Interactive on Super Tutor

Studying Differential Equation and Applications? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for revision notes and more.

Try Super Tutor — Free

1,000+ Class 12 students started this chapter today

Key Topics to Revise

1

Basic Concepts and Definitions

  • A differential equation contains dependent variables, independent variables, and derivatives
  • Order is determined by the highest derivative present
  • Degree is the power of the highest order derivative when freed from fractions/radicals
2

Formation of Differential Equations

  • Eliminate arbitrary constants by differentiation
  • Number of differentiations = number of arbitrary constants
  • Use algebraic manipulation to eliminate constants between original and differentiated equations
3

Variable Separable Method

  • Separate variables so all terms with x are on one side, all terms with y on the other
  • Write in form f(x)dx = g(y)dy
  • Integrate both sides independently
4

Homogeneous Differential Equations

  • Equation is homogeneous if f(x,y) and g(x,y) have the same degree
  • Use substitution y = vx where v is a new variable
  • This converts the equation to variable separable form

Get complete notes with diagrams and examples

Full Notes

Key Concepts

An equation involving dependent variable(s)Order is the highest derivative presentUsed when equation can be writtenEquations where f(xForm

Frequently Asked Questions

What are the important topics in Differential Equation and Applications for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Differential Equation and Applications 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 Differential Equation and Applications — 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.

More resources for Differential Equation and Applications

All 16 chapters — Maharashtra Board Class 12 Mathematics & Statistics -Commerce Revision Notes

For serious students

Get the full Differential Equation and Applications chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for Maharashtra Board Class 12 Mathematics & Statistics -Commerce.

Try Super Tutor Free
Try the full chapter — Free