Download Free PDF of Differential Equations Exercise 9.4 Solutions for Class 12 Maths
FAQs on CBSE Class 12 Maths Chapter 9 Differential Equations – NCERT Solutions 2025-26
1. What is the method used to solve Exercise 9.4 in Class 12 Maths?
Exercise 9.4 in Class 12 Maths is solved mainly using the variable separable method for first order, first degree differential equations.
Key steps:
- Identify the equation’s type (first order, first degree).
- Separate the variables (put all y-terms and dy on one side; x-terms and dx on the other).
- Integrate both sides with respect to their variables.
- Add the constant of integration C.
- Express the solution in general or specified form.
This approach follows the NCERT/CBSE pattern and covers exam-focused methods such as integration practice and separating variables.
2. How can I download Exercise 9.4 NCERT Solutions as a PDF?
You can easily download Class 12 Maths Chapter 9 Exercise 9.4 NCERT Solutions PDF for offline study and revision.
Steps to Download:
- Go to the page titled NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4.
- Look for the Download PDF or highlighted button section.
- Click to download; registration or login is not required on most trusted educational sites.
Having a PDF lets you revise and practise variable separable differential equations quickly before exams, even without internet.
3. Are Vedantu's Class 12 Maths solutions Board-marking scheme compliant?
Yes, Vedantu's Class 12 Maths NCERT solutions are fully aligned with the CBSE Board marking scheme.
How the solutions match Board guidelines:
- Every step is shown as per CBSE’s stepwise marking.
- The latest 2025 syllabus is followed strictly.
- Key formulas, definitions, and integration techniques are clearly highlighted.
- Accurate and concise answers increase scoring chances.
This ensures you get reliable, exam-ready answers for Differential Equations and all exercises in Chapter 9.
4. What are the tips to avoid common calculation mistakes in Differential Equations?
To avoid calculation mistakes in Differential Equations (especially in Exercise 9.4):
Follow these tips:
- Always separate variables carefully; double-check rearrangement.
- Use the correct integration rules and mark boundaries clearly.
- Do not forget to add the integration constant "C" at the end.
- Write each step; skip none, as per CBSE marking.
- After final answer, quickly verify by differentiating to check correctness.
Practice with stepwise solutions to strengthen accuracy and minimize exam errors.
5. How is Exercise 9.4 important for CBSE Board and entrance exams?
Exercise 9.4 is crucial for both CBSE Board and entrance exams like JEE and NEET.
Importance includes:
- Covers the frequently tested topic: first order, first degree differential equations.
- Makes up to 7 marks in CBSE Maths Boards (2025 syllabus).
- NEET and JEE often have direct or application-based questions from this exercise.
- Helps solidify concepts needed for higher calculus in college entrance.
Mastering this exercise boosts confidence and increases scores in board and competitive exams.
6. Where can I find stepwise explanations and reasoning for each Ex 9.4 problem?
Stepwise, Board-oriented explanations for every Exercise 9.4 question are available in expert-verified NCERT solutions.
Features of these solutions:
- Each step—variable separation, integration, and simplification—is explained.
- Hints, formulas, and short explanations boost understanding.
- Solutions are shown exactly in the format expected for CBSE checking.
- You may also find revision notes and key points on trusted learning sites.
This approach strengthens concept clarity and prepares you for full marks in exam.
7. Is class 12 maths very tough?
Class 12 Maths is considered moderate if you focus on understanding core concepts, practising stepwise NCERT solutions, and revising regularly.
Tips to manage difficulty:
- Study chapter-wise solutions, especially for high-weightage chapters like Differential Equations.
- Practice by solving past years’ questions for each exercise.
- Download and use PDF revision materials before exams.
8. Which is the hardest chapter in class 12 maths?
The difficulty varies, but chapters like Probability, Application of Integrals, and at times Differential Equations pose challenges due to multistep solutions and conceptual depth.
Common tough chapters:
- Probability (Chapter 13)
- Application of Integrals (Chapter 8)
- Differential Equations (Chapter 9) – for integration steps
- Three-dimensional Geometry (Chapter 11)
9. What is the general form of a differential equation Class 12?
The general form of a first order, first degree differential equation in Class 12 is:
dy/dx = f(x)g(y) (Variable separable form)
Or, for linear equations:
dy/dx + P(x)y = Q(x)
These forms allow you to use variable separable method or integrating factor method as per Exercise 9.4 and the NCERT syllabus.
10. What are the key points to remember while solving Class 12 Maths Chapter 9 Exercise 9.4?
To score full marks in Exercise 9.4, keep these key points in mind:
- Write the equation in separated variable form: dy/dx = f(x)g(y).
- Move all y terms (and dy) to one side; all x terms (and dx) to the other.
- Integrate both sides properly; watch for constants.
- Don’t forget to add the constant of integration C.
- Box your final answer and check clarity as per the CBSE marking scheme.

















