Class 12 RS Aggarwal Chapter-21 Linear Differential Equations Solutions - Free PDF Download
FAQs on RS Aggarwal Class 12 Solutions Chapter-21 Linear Differential Equations
1. What are the properties of the Linear Differential Equations?
There are certain properties exhibited by General Linear Differential Equations, these properties are:-
A given function is y and its derivatives can occur in the linear differential equations, only up to the first degree only.
NO product of y and its derivatives does not exist.
NO transcendental functions (such as logarithmic and Trigonometric function) of y and its derivative exist.
For Example:- xdxdy + 5y = x2
Students will be able to grasp such concepts by doing the questions given in chapter 21st Differential Equations.
2. What are the most important topics and sub-topics covered in the Differential Equations?
The important topics and sub-topics covered in RS Aggarwal Class 12 Chapter 28 - Differential Equations are - Introduction to Differential Equations, Basic concepts, Order of a differential equation, Degree of a differential equation, General and Particular Solutions of a Differential Equation, Formation of a Differential Equation, Solutions for First Order, First Degree Differential Equations, Differential equations with variables separable and Linear Differential Equations. The book solution provided by the Vedantu is a great reference resource for students to easily understand these concepts.
3. Why should students refer to Vedantu’s class 12 differential equations?
The students can get a lot of benefits by referring to the class 12 differential Equations solution provided by the Vedantu. some of these benefits of referring to them are -
Students get an easy understanding of the topics covered in this chapter.
All the solutions are created by expert teachers with years of experience, which make sure that each answer is 100% accurate.
Small notes are also added to clear all doubts of the student that might arise while during.
All the Relevant diagrams are also provided for the student to easily understand the questions and their answer provided by the Vedantu.
4. Define Order and Degree of differential equations as discussed in the class 12 chapter of Differential Equations
Order of Differential equations: The order of a differential equation is the highest order of derivative present in that differential equation.
Degree of Differential equations: It is the highest exponent value of the highest derivative present in a differential equation.
Some important points about order and degree of differential equations
Order and degree are always written in positive integers.
The differential equations, can’t be used in normal any longer than more than once.
Differential equations are a type of polynomial equation.
5. How can we classify Differential equations in RS Aggarwal class 12 chapter 21 Linear Differential Equations?
There are many ways to classify differential equations in this chapter, some of how a differential equation can be classified are -
Ordinary Differential Equations.
Partial Differential Equations.
Linear Differential Equations.
Non-linear Differential Equations.
Homogeneous Differential Equations.
Non-homogenous Differential Equations.
Out of these six, ordinary and partial differential equations are the most important type of classification.
Ordinary differential equations:- The differential equations having only a single variable is called Ordinary Differential Equations (ODEs).
Partial differential equations:- If a differential equation contains two or more independent variables, then it is called the Partial differential equations (PDEs).