CBSE · Class 12 · Mathematics · Chapter 9

Differential Equations

Formation and solution of differential equations.

6 lessons 110 min
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Lessons in this chapter

  1. 1Recognising Differential EquationsLearn to read equations involving derivatives and distinguish their order from their degree.
  2. 2Solutions, Families, and Initial ConditionsUnderstand what a solution means, verify it, and see how conditions select a curve from a family.
  3. 3Separation of Variables and Growth ModelsSeparate variable-dependent factors, integrate with care, and build curve and continuous-growth models.
  4. 4Homogeneous Equations and Ratio SubstitutionsRecognise equations governed by a ratio and reduce them to separable equations.
  5. 5Linear Equations and Integrating FactorsUse the product rule to derive integrating factors and solve linear equations in either variable.
  6. 6Chapter Summary and PracticeConnect classification, solution families, and all three solving methods through mixed reasoning and practice.