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Chapter 6 of 15
Study Plan

Differential Equations — Study Plan

Madhya Pradesh Board · Class 12 · Mathematics

A step-by-step study plan for Differential Equations, Madhya Pradesh Board Class 12 Mathematics: what to learn first, what to practise and when to revise.

94 questions50 flashcards17 formulas & key relations5 concepts

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A diagram illustrating the components of a differential equation, showing independent variable, dependent variable, and derivatives. Examples of Ordinary Differential Equations (ODEs) are included.
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Study Plan

1
Day 1–2

Learn the Theory

Read the textbook chapter carefully. Note down definitions, formulas and key ideas. Focus on: 1. Basic Ideas, Order, and Degree, 2. General Solution and Particular Solution, 3. Variable Separable Differential Equations.

2
Day 3

Practise

Solve the textbook exercises and extra practice questions. There are 94 questions available for this chapter.

3
Day 4

Revise & Test

Revise key points without looking at your notes. Take a practice quiz and mark weak areas for another pass.

4
Day 7

Spaced Revision

Come back to Differential Equations after a week. Use flashcards for quick recall and try past exam questions on this chapter.

What to Focus On

  • Differential equation means an equation containing derivatives.
  • Ordinary differential equation involves only one independent variable.
  • Partial differential equation involves more than one independent variable.
  • Order depends on the highest derivative.
  • Degree is defined only for polynomial equations in derivatives.
  • Order and degree are always positive integers when defined.
  • A solution satisfies the differential equation after substitution.
  • General solution contains arbitrary constants.
  • Particular solution has no arbitrary constants.

Common Mistakes to Avoid

Every differential equation has a degree.

If an equation has a second derivative, its degree must be 2.

The general solution and particular solution mean the same thing.

Memory Tips

Meaning of a differential equation

Ordinary differential equation

Partial differential equation

Order of a differential equation

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Frequently Asked Questions

What are the important topics in Differential Equations for Madhya Pradesh Board Class 12 Mathematics?
Key topics in Differential Equations include Basic Ideas, Order, and Degree, General Solution and Particular Solution, Variable Separable Differential Equations, Homogeneous Differential Equations. Study these first, then practise questions on each for the Madhya Pradesh Board Class 12 board exam.
How should I revise Differential Equations for the Madhya Pradesh Board Class 12 board exam?
Learn the core ideas first, then work through the 94 practice questions on Differential Equations. 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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