Differential Equations
Maharashtra Board · Class 12 · Mathematics & Statistics
Quick revision notes for Differential Equations — Maharashtra Board Class 12 Mathematics & Statistics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Basic Concepts and Classification
- A differential equation contains derivatives of an unknown function
- Order = highest derivative present in the equation
- Degree = power of the highest order derivative (after making equation polynomial)
Formation of Differential Equations
- Eliminate arbitrary constants by differentiation
- Number of differentiations = number of arbitrary constants
- Use determinant method for multiple constants
Variable Separable Differential Equations
- Equations of form f(x)dx = g(y)dy can be separated
- Integrate both sides independently
- Don't forget the constant of integration
Homogeneous Differential Equations
- All terms have same degree in x and y
- Use substitution y = vx or x = vy
- Reduces to variable separable form
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Differential Equations covers several key topics that are frequently asked in Maharashtra Board Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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