Differential Equations is one of the most scoring and concept-driven subjects in the GATE 2026 Mathematics and ECE syllabus. With the right understanding of first-order and higher-order equations, solving complex engineering problems becomes easier and more intuitive.
These handwritten notes are designed to help GATE aspirants revise concepts quickly, understand methods clearly, and practice all important types of problems that repeatedly appear in the exam.
Differential Equations Notes for GATE 2026 (Handwritten)
📚 What You Will Learn
1. First Order Differential Equations
- Linear differential equations Nonlinear equations
- Homogeneous and non-homogeneous types
- Exact differential equations
- Bernoulli’s equation
- Applications in engineering models
2. Higher Order Linear Differential Equations
- Second and higher order ODEs
- Constant coefficient equations
- Complementary function (C.F.)
- Particular integral (P.I.)
- Reduction of order
- Operator method for solving ODEs.
3. Cauchy’s and Euler’s Differential Equations
- Variable coefficient equations
- Transformation to constant coefficient form
- Standard solution patterns
4. Method of Variation of Parameters
- Step-by-step approach
- Solving non-homogeneous linear equations
- Comparison with undetermined coefficients
5. Partial Differential Equations (PDEs)
- Formation of PDEs
- First-order PDEs
- Degree and order
- Linear PDE basics
6. Variable Separable Method
- Separable equations
- Applications in heat and fluid flow
- Integration-based approach
7. Initial and Boundary Value Problems
- IVP vs BVP
- Basic solution methods
- Common exam problems
Why These Notes Are Useful for GATE 2026
- Covers 10–12% weightage in GATE ECE & EE
- Problems are predictable once concepts are strong
- Handwritten format ensures clarity and quick revision
- Step-by-step solved examples help build confidence
- Great for last-minute revision and practice
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Complete Note of Differential Equations 👇👇
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📝 Conclusion
Differential Equations becomes easy when you understand the patterns, practice standard problem types, and revise formulas regularly. These handwritten notes help you master the core concepts needed for GATE 2026 in a clean, aesthetic, and student-friendly format.
Consistent practice with these notes will significantly boost your accuracy and speed in the exam.