NCERT Solutions for Class 12 Maths Exercise 9.5 Differential Equations

NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations: Get access to NCERT Solutions Class 12 Maths Exercise 9.5 from this article. Chapter 9 Differential equations is based on “Homogeneous Differential Equations.” It is an essential material that can help students revise the entire syllabus and achieve high marks in their CBSE Class 12 Board exam.

Class 12 Chapter 9 talks about Differential Equations and its types, Solutions of a Differential Equation, Formation of Differential Equations, Homogeneous Differential Equations, Linear Differential Equations, Applications of Differential Equations and many more. Embibe delivers a set of 400+ practice questions for all the sub-topics of Chapter 9. To achieve a good score, students should practice all the questions offered by Embibe. Keep reading to access the NCERT Solutions for Class 12 Maths Chapter 9.

NCERT Solutions for Class 12 Maths Chapter 9: Important Topics

Differential Equations is very important for the students not just for scoring good marks in the final exams but also to build fundamentals for many entrance exams. Although arriving at the solutions for the problems may seem difficult for the students initially, a consistent practice will lead to easy problem-solving. Students will be able to handle any type of question asked in the final exam. The more the problems are practised, more efficient students will become in the topic.

The solutions offered for every question of the Differential Equations chapter are based on the latest syllabus. All the solutions for the chapter are provided for. Moreover, students can access NCERT 3D Videos, NCERT Exemplars, Embibe Explainers, etc., for at Embibe.

Before getting into the solutions, let us know the list of important topics of Class 12 Maths Chapter 9 Differential Equations Exercise 9.5 from below.

NCERT Solutions for Class 12 Maths Chapter 9: Points to Remember

Some of the important points to remember from Class 12 Maths Differential Equations chapter exercise 9.5 have been provided below. Students may try to memorize them before appearing for the exam to have a quick revision.

• An equation containing an independent variable, dependent variable, and differential coefficients of the dependent variable with respect to the independent variable is called a differential equation.
• The order of a differential equation is the order of the highest order derivative appearing in the equation. The order of a differential equation is a positive integer.
• The degree of a differential equation is the degree of the highest order derivative. In other words, the degree of a differential equation is the power of the highest order derivative occurring in a differential equation, when it is written as a polynomial in differential coefficients..
• A differential equation will be a non-linear differential equation, if
  (a) its degree is more than one.
  (b) any of the differential coefficients has an exponent more than one.
  (c) an exponent of the dependent variable is more than one.
  (d) products containing dependent variable and its differential coefficients are present.
• The solution of a differential equation is a relation between the variables involved which satisfies the differential equation. Such a relation and the derivatives obtained therefrom when substituted in the differential equation make left-hand, and right-hand sides identically equal.
• The solution which contains as many arbitrary constants as the order of the differential equation is called the general solution of the differential equation.
• The solution obtained by giving particular values to the arbitrary constants in the general solution of a differential equation is called a particular solution.
• A differential equation expressible in the form f(x) dx=g(y) dy.

NCERT Solutions for Class 12 Maths: All Chapters

Below-mentioned are the NCERT solutions for all the chapters of Class 12 Maths.

• Chapter 1: Relations and Functions
• Chapter 2: Inverse Trigonometric Functions
• Chapter 3: Matrices
• Chapter 4: Determinants
• Chapter 5: Continuity and Differentiability
• Chapter 6: Applications of Derivatives
• Chapter 7: Integrals
• Chapter 8: Application of Integrals
• Chapter 10: Vector Algebra
• Chapter 11: Three Dimensional Geometry
• Chapter 12: Linear Programming
• Chapter 13: Probability

FAQs

Q.1: Where can I download NCERT Solutions for Chapter 9 Class 12 Maths?
Ans: You can download the NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations from this page of Embibe.

Q.2: Is NCERT Solutions for Class 12 Maths Chapter 9 at Embibe sufficient to answer all the questions asked from Chapter 9 CBSE Class 12 board exams?
Ans. Yes. The NCERT Solutions for Chapter 9 Class 12 Maths provided by Embibe are enough for your CBSE Class 12 Maths preparation and to score higher marks.

Q.3: How many questions are there in Class 12 Maths Chapter 9 Differential Equations?
Ans. There are 17 questions in NCERT Class 12 Maths Chapter 9. There are 15 short answer type questions and 2 MCQs.

Q.4: Define differential equation in NCERT Solutions for Class 12 Maths Chapter 9?
Ans. A differential equation is an equation that comprises derivatives of dependent variables with respect to independent variables. It is an important chapter in Class 12 because these concepts have many applications in our daily lives. Students are encouraged to solve this chapter using the solutions devised by Embibe’s experts to perform well in Class 12 first and second term exams.

Q.5: Why should I practice Class 12 Maths Chapter 9 NCERT Solutions from Embibe?
Ans. Embibe’s in-house subject matter experts solved the Differential Equations Class 12 problems/questions with utmost care and in accordance with all CBSE guidelines. Following these solutions will increase the confidence levels of the students and helps them score best marks.