Differential Equations and Modeling
CBSE · Class 12 · Applied Mathematics
Quick revision notes for Differential Equations and Modeling — CBSE Class 12 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Basic Concepts - Order and Degree
- A differential equation involves derivatives of dependent variable with respect to independent variable(s)
- Ordinary differential equations have derivatives with respect to only one independent variable
- Order is the highest derivative present in the equation
Solutions of Differential Equations
- General solution contains arbitrary constants equal to the order of equation
- Particular solution has no arbitrary constants, obtained by giving specific values
- Solution curve represents the graph of solution function
Formation of Differential Equations
- Start with equation containing arbitrary constants (parameters)
- Differentiate enough times to match number of constants
- Eliminate constants from the system of equations
Solving Simple Differential Equations
- Variable separable equations: dy/dx = f(x)g(y)
- Separate variables: dy/g(y) = f(x)dx
- Integrate both sides independently
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What are the important topics in Differential Equations and Modeling for CBSE Class 12 Applied Mathematics?
Differential Equations and Modeling covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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