NCERT Solutions for Class 12 Maths Chapter 9 Miscellaneous Exercise - Free PDF Download






FAQs on NCERT Solutions for Class 12 Maths Chapter 9 Differential Equation Miscellaneous Exercise
1. What kind of problems are covered in the miscellaneous exercise?
The miscellaneous exercise in Chapter 9 deals with various aspects of solving differential equations, including:
Identifying the order and degree of a differential equation.
Finding general and particular solutions of differential equations using different methods (separation of variables,homogeneous equations, integrating factors, etc.).
Applying differential equations to solve real-world problems in various fields (e.g., population growth, motion,electrical circuits).
2. How do the NCERT solutions approach these problems?
The NCERT solutions typically:
Briefly remind you of the relevant concepts from differential equations, including order, degree, general and particular solutions, and different solution methods.
Guide you through the process of classifying the differential equation based on its order and degree.
Demonstrate how to apply the appropriate solution method for the given differential equation. This might involve separation of variables for separable equations, using integrating factors for specific types of equations, or other relevant methods.
Show you how to find the general solution and then apply initial conditions (if provided) to obtain the particular solution.
3. Where can I find additional resources for practising miscellaneous exercise problems?
The NCERT textbook itself might provide solutions to some problems within the miscellaneous exercise section.
Vedantu offers comprehensive solutions and explanations for these problems. You can find them through a web search using terms like "NCERT Solutions Class 12 Maths Chapter 9 Miscellaneous Exercise Differential Equations."
4. Differential Equation sample questions?
While I cannot provide specific solutions due to copyright, here are 2 sample questions to illustrate the types of problems you might encounter:
Solve the differential equation dy/dx = x^2 + y (This question might involve using separation of variables)
Find the general solution of the differential equation d^2y/dx^2 + 4y = 0 (This question requires identifying the order and degree and then solving the homogeneous equation)

















