Chapter 15 of 16
Revision Notes
Differential Equation and Applications — Revision Notes
Maharashtra Board · Class 12 · Mathematics & Statistics -Commerce
Differential Equation and Applications revision notes for Maharashtra Board Class 12 Mathematics & Statistics -Commerce: 4 topics in quick points.
45 questions20 flashcards3 formulas & key relations5 concepts
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Key Topics to Revise
1
Basic Concepts and Definitions
- A differential equation contains dependent variables, independent variables, and derivatives
- Order is determined by the highest derivative present
- Degree is the power of the highest order derivative when freed from fractions/radicals
2
Formation of Differential Equations
- Eliminate arbitrary constants by differentiation
- Number of differentiations = number of arbitrary constants
- Use algebraic manipulation to eliminate constants between original and differentiated equations
3
Variable Separable Method
- Separate variables so all terms with x are on one side, all terms with y on the other
- Write in form f(x)dx = g(y)dy
- Integrate both sides independently
4
Homogeneous Differential Equations
- Equation is homogeneous if f(x,y) and g(x,y) have the same degree
- Use substitution y = vx where v is a new variable
- This converts the equation to variable separable form
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Full NotesKey Concepts
An equation involving dependent variable(s)Order is the highest derivative presentUsed when equation can be writtenEquations where f(xForm
Frequently Asked Questions
What are the important topics in Differential Equation and Applications for Maharashtra Board Class 12 Mathematics & Statistics -Commerce?
Key topics in Differential Equation and Applications include Basic Concepts and Definitions, Formation of Differential Equations, Variable Separable Method, Homogeneous Differential Equations. Study these first, then practise questions on each for the Maharashtra Board Class 12 board exam.
How should I revise Differential Equation and Applications for the Maharashtra Board Class 12 board exam?
Learn the core ideas first, then work through the 45 practice questions on Differential Equation and Applications. Revise definitions regularly and use flashcards for quick recall before the exam.
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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