JEE Main Math — Differential Equations

Ordinary differential equations for JEE Main aspirants.

📋 Course Learning Outcomes

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

  1. Identify the order and degree of a differential equation and form an ODE from a given family of curves [Analyze]
  2. Solve variables-separable and homogeneous differential equations through standard substitutions [Apply]
  3. Solve first-order linear ODEs using the integrating factor method [Apply]
  4. Apply Bernoulli's transformation to reduce non-linear equations to linear form [Apply]
  5. Model exponential growth, radioactive decay, and Newton's law of cooling with appropriate ODEs [Apply]
  6. Solve JEE Main MCQs on ODEs by classifying the equation type within the first ten seconds [Apply]

📚 Chapters

  1. Order, Degree and Formation of Differential Equations
  2. Variables Separable
  3. Homogeneous Differential Equations
  4. Linear Differential Equations of First Order
  5. Exact Differential Equations
  6. Bernoulli's Equation
  7. Applications to Growth, Decay and Geometry
  8. Modeling with Differential Equations

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