How to prepare for Differential Equations for CUET-UG ?
http: Hub
General Learning Resources
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:
- Most Weightage:
- First-order Linear DE (Variable Separable, Integrating Factor)
- Formation Order/Degree (Conceptual)
- Least Weightage:
- Exact DE Higher Order DE (Less frequent)
- Application-based Questions:
- Occasionally, word problems (e.g., growth/decay, Newtonβs 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
- Focus Areas:
- First-order DE (80% weightage).
- Practice formation of DE from given solutions.
- NCERT Priority: Cover Examples Exercises thoroughly.
- 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?