JEEA-13 — JEE Advanced Math — Differential Equations

JEE Advanced Math — Differential Equations

Differential equations for JEE Advanced aspirants.

📋 Course Learning Outcomes

On successful completion of this course, the learner will be able to:

  1. Analyze exact differential equations and identify integrating factors when not exact [Analyze]
  2. Derive families of orthogonal trajectories given a one-parameter family of curves [Create]
  3. Apply Bernoulli's substitution and reducible-to-linear transformations [Apply]
  4. Model mixing problems and population dynamics with appropriate first-order ODEs [Apply]
  5. Evaluate geometric applications such as curves whose tangent or normal satisfies given conditions [Evaluate]
  6. Solve JEE Advanced multi-step and paragraph problems on ODEs [Evaluate]

📚 Chapters

  1. Order, Degree and Formation
  2. Variables Separable
  3. Homogeneous Equations
  4. Linear First-Order Equations
  5. Exact Differential Equations
  6. Bernoulli's and Reducible Forms
  7. Orthogonal Trajectories
  8. Modeling — Growth, Decay, Mixing
  9. Geometric Applications
  10. Mixed Advanced Problems

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