CBSE Class 12 students who have had their initiation with integration problems in past lessons may recognize differentiation problems easily. Differentiation is the expression of the derivative of a function based on one or more variables; there are multiple formulae specified within chapter 9, that teach students to solve functions to their derivative value, based on the type of variables featured. Ch 9 Class 12 Maths features multiple exercises that progressively explores Differential Equation problems of increasing complexity. CBSE students are expected to harness all that they can about the numerical formulae and associated problems discussed in this chapter. The silver lining is that the NCERT exercises follow a very similar question model to the actual CBSE papers. So, students may behoove from practicing the NCERT exercises as revision material.
What daunts students the most about differentiation is that knowing the formulae by heart alone is not sufficient. Every formula comes with multiple techniques to derive the value of a function. The initial exercises feature first-order differential equations. Solving the initial exercises may seem easy as recalling the formulae alone helps. The initial NCERT exercises require students to determine the degree and order of a given differential equation; this may include regular sums as well as MCQ’s. All in all, Differential Equation solution NCERT 12 features a total of six exercises that offer a broad cross-section of numerical problems to master; and, given the application differential equation problems in your higher studies, you must ensure that you can solve these numerical problems with absolute dexterity.
In these regards, students may refer to the NCERT exercise problems for a comprehensive practice ritual. The NCERT exercise book models question papers in a similar fashion to the CBSE question paper. Thus, attempting the NCERT Class 12 Maths, chapter 9 exercises can clarify a lot of in-depth concepts for you. However, solving these exercises in their entirety is easier said than done. If you face any situation where you are unable to resolve a problem sum, you can always rely on Vedantu’s NCERT solution PDF to troubleshoot your doubts in differential equations.
Vedantu’s NCERT Solutions for Class 12 Maths Chapter 9 exercises can help you build a strong foundation in basic Differential Equations. The solutions are prepared by Vedantu’s in-house tutors who simplify every problem into broad steps that are easy for the students to absorb. Vedantu catalogs all the exercises under Class 12 Maths Chapter 9; you can download solution guides chapter-wise or as a whole.
Differential Equation is a chapter that is essential to your expertise in Class 12 Maths. As mentioned above, differential equations have applications in subjects beyond your Class 12 academics; they feature in the majority of the questions of your CBSE Class 12 Maths paper. Hence, this necessitates a clear understanding of the chapter. For students who are struggling with Differential Equation NCERT exercises, Vedantu is always available as a helping hand. Given the broad nature of the Class 12 Maths syllabus, the objective is to build your confidence so you can attempt any problem in the actual CBSE paper that is issued from Chapter 9.
The Vedantu NCERT PDF guide outlines the solutions to every problem. Students can expect every doubt they have in differential equations to be clarified; from ex 9.2 Class 12 to ex 9.6. Those who have resorted to downloading the Vedantu solution for Class 12 Differential Equation problems must try to solve the problems without consulting the guide first. Once you have a list of doubts you can consult the solutions and then attempt the NCERT exercises again without consulting the solutions. The gradual improvement in your understanding of the differential equation formulae, techniques and patterns become more apparent.
So, the answer to all of your doubts in differential equations in CBSE Class 12 Maths can be quelled easily with a copy of Vedantu’s NCERT PDF. The PDF file is available for a free download from the Vedantu website, where it is categorized according to class and subject.
Class 12 Maths Chapter 9 – Exercise 9.1
This exercise comprises of 12 questions based on differential equations. All the questions of this exercise follow a similar pattern and require students to determine the order and degree of the in-text differential equations.
We provide Differential Equations Solutions that comes with shortcut techniques to help students understand the basic concepts of differential equations. You can practice this exercise through NCERT books online and start preparing for your examinations.
Class 12 Maths Chapter 9 – Exercise 9.2
This section covers the question that requires students to find the particular solutions of the in-text differential equations. The second exercise of Differential Equations Class 12 consists of a total of 12 questions. Students need to use a similar technique to verify whether the in-text functions, explicit or implicit, is the solution of the corresponding differential equation.
Our Maths Class 12 NCERT Solutions will enable students to develop a deep understanding of the subject matter. Students can practice this exercise through NCERT books PDF for acquiring the necessary knowledge on differential equations.
Class 12 Maths Chapter 9 – Exercise 9.3
This section consists of different types of questions based on differential equations of NCERT Class 12 Maths. The questions 1 to 10 require students to form a differential equation that will represent a given family of curves mention in-text of the question. For the last two questions, students have to choose the correct answer out of the four given options.
Keeping in mind that students often find it challenging to comprehend the complexity of differential equations, we provide NCERT Solutions for Class 12 Maths Chapter 9 PDF that equips students to attend multifaceted questions.
Class 12 Maths Chapter 9 – Exercise 9.4
The fourth exercise of Differential Equations Class 12 consists of 19 questions. Students are required to attend these questions with different techniques. Here is an overview of the entire exercise–
For questions 1 to 10, students have to find the general solution of the differential equations.
For questions 11 to 14, students are required to find a particular solution for each differential equation that will satisfy the mentioned formula.
The questions 15 to 19 are based on problem-solving differential equations. Students need to approach every equation using various methods.
Follow our NCERT Maths Class 12 Solutions to learn the shortcut techniques to solve the differential equations. Practice this section thoroughly as these are the most preferred questions for examinations.
Class 12 Maths Chapter 9 – Exercise 9.5
The exercise 9.5 of Differential Equations Class 12 comprises a total of 17 questions. This exercise mainly focuses on homogenous differential equations.
We provide Differential Equations Class 12 NCERT Solutions PDF that helps students improve their problem-solving skills and excel in the field of Mathematics.
Class 12 Maths Chapter 9 – Exercise 9.6
The students are required to solve 19 questions based on linear differential equations. Our NCERT Solution for Class 12 introduces students to solve these equations step by step by using shortcut techniques that will enable them to score more marks in the examinations. Revise this chapter through our CBSE NCERT books available on the official website.
Class 12 Maths Chapter 9 – Miscellaneous Exercise
The miscellaneous exercise of Chapter 9 of Differential Equations Class 12 contains a mixed pattern of questions. This exercise comprises of 18 questions that students have already solved in the previous exercises.
Practicing these questions through NCERT books download enable students to build a strong foundation on the various concepts of differential equations. Get your hands on these standard Differential Equations NCERT Solutions to start your preparations for the upcoming examination.
Thus, students who aspire to score beyond their expectations in a subject as complex but crucial as Class 12 Maths, must ensure they download a copy of NCERT Maths 12 chapter 9. Vedantu’s simplified solutions, prepared by Vedantu’s resident teachers, can help you identify patterns in differential equations; they solve the problems using the simplest techniques that are easy for students to understand. The broadly described steps fill the missing gaps in your logic, thus strengthening your base in Differential Equations. Given how the solution PDF covers chapters from ex 9.2, ex 9.3 Class 12 Maths, to ex 9.6, consulting the Vedantu solution may produce a significant difference in your grasp over differential equations.
There are several benefits of turning to Vedantu for help:
If you wish to go the distance and master Class 12 Maths completely, then there cannot be a better learning partner Vedantu, by your side. Vedantu’s NCERT Solutions are not only trusted by the student across the country but recommended by teachers as well for the self-learning purpose of students. The differential equations Class 12 NCERT Solutions PDF can help you build a strong understanding of the topic that goes on to serve you for the years to come, in competitive exams, higher studies, etc.
If you are still not convinced why you should avail the NCERT solution, then here’s why you should re-evaluate your study plan:
Visit Vedantu to master Class 12 Mathematics.
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