How to prepare for Differential Equations for CUET-UG ?

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Expected Weightage

The Common University Entrance Test (CUET) for Mathematics includes Differential Equations (DE) as a key topic. Below is an analysis of the marking pattern and chapter-wise weightage for DE over the last 3 years (2022-2024) based on available trends and past papers.

1. Overall Weightage of Differential Equations in CUET (UG)

  • Subject: Mathematics (Code: 306)
  • Total Questions in Maths: 50 (40 to be attempted)
  • Marks per Question: +5 (Correct), -1 (Incorrect)
  • Approximate Weightage of DE: 10-15% (varies yearly)
  • Expected Questions: 4-6 (out of 40)

2. Chapter-wise Breakdown (Last 3 Years)

Differential Equations in CUET typically covers the following sub-topics with varying weightage:

Chapter/Topic 2022 2023 2024 (Expected) Trend
Order Degree of DE 1-2 Q 1 Q 1 Q Stable
Formation of DE 1 Q 1 Q 1 Q Stable
Linear DE (First Order) 2 Q 2 Q 2-3 Q Increasing
Homogeneous DE 1 Q 1 Q 1 Q Stable
Exact DE Integrating Factor 1 Q 1 Q 1 Q Stable
Higher Order Linear DE (Constant Coefficients) 1-2 Q 1 Q 1 Q Decreasing

Key Observations:

  1. Most Weightage:
  2. First-order Linear DE (Variable Separable, Integrating Factor)
  3. Formation Order/Degree (Conceptual)
  4. Least Weightage:
  5. Exact DE Higher Order DE (Less frequent)
  6. Application-based Questions:
  7. Occasionally, word problems (e.g., growth/decay, Newton’s law of cooling) appear.

3. Difficulty Level Marking Scheme

  • Difficulty: Mostly Moderate (NCERT-based).
  • Tricky Areas:
  • Identifying integrating factors.
  • Boundary conditions in word problems.
  • Negative Marking: -1 for wrong answers (only attempt if confident).

4. Preparation Tips

  1. Focus Areas:
  2. First-order DE (80% weightage).
  3. Practice formation of DE from given solutions.
  4. NCERT Priority: Cover Examples Exercises thoroughly.
  5. PYQs Practice: Solve 2022 2023 CUET papers for pattern familiarity.

5. Expected 2024 Trend

  • Likely Emphasis:
  • Applications of DE (real-life problems).
  • Linear DE (integrating factor method).
  • Reduced Weightage: Higher-order DE (if any).

Conclusion

Differential Equations in CUET is a scoring but selective topic. Prioritize First-order DE, Formation, and Linear DE for maximum marks. Practice NCERT + CUET PYQs for confidence.

Would you like a topic-wise question distribution from past papers?