RS Aggarwal Class 12 Homogeneous Integral equations PDF

RS Aggarwal Class 12 Homogeneous Integral equations PDF

Welcome to Here we have provided RS Aggarwal Class 12 Homogeneous Integral equations PDF which you can download very easily. Rs Aggarwal is a mathematics book based on NCERT with lots of questions to practice. If you have cleared your concept from NCERT maths book class 12 then now it’s time for you to go for the question of RS Aggarwal Class 12 Homogeneous Integral equations PDF.

What are Homogeneous Integral equations?

A homogeneous integral equation is a type of integral equation in which the function to be determined and the kernel of the integral equation share the same properties of scaling.

It is an equation of the form

∫ K(x,t)f(t) dt =0

where K(x,t) is the kernel of the integral equation and f(t) is the unknown function to be determined, and the integral is taken over a given interval.

It is called homogeneous because the equation is unchanged when the function f(t) is multiplied by a constant.

To solve a homogeneous integral equation, one typically starts by assuming that the solution is of a certain form, such as a polynomial or a trigonometric function, and then uses that form to find the constant of integration.

There are different methods to solve homogeneous integral equations, such as the method of successive approximations and the method of eigenfunction expansions.

In this method, we use some known function as a trial function and form an integral equation using it. Then we try to find the function that makes the integral equation true.

An example of a Homogeneous Integral equation is:

∫_0^1 (t-x)f(t)dt =0

It can be solved by assuming f(t) = at^n where n is a constant and a is a constant of integration.


Rs Aggarwal Class 12 PDF (All Chapters PDF)

Chapter no.chapter namepdf
3Binary OperationsDownload
4Inverse Trigonometric FunctionsDownload
7Adjoint and Inverse Of MatrixDownload
8System of Linear EquationsDownload
9Continuity and DifferentiabilityDownload
11Applications of DerivativesDownload
12Indefinite IntegralsDownload
13Methods of integrationDownload
14Some Special integralsDownload
15Integration using Partial FunctionsDownload
16Definite integralsDownload
17Area of Bounded RegionsDownload
18Differential equations and their formationsDownload
19Differential equations with variable separableDownload
20Homogeneous Integral equationsDownload
21Linear Differential equationsDownload
22Vectors And Their PropertiesDownload
23Scalar, or Dot product of VectorsDownload
24Cross or vector products of VectorDownload
25Product of three vectorsDownload
26Fundamental Concepts of 3D GeometryDownload
27Straight Line in SpaceDownload
28The PlaneDownload
30Bayes’s Theorem and its ApplicationsDownload
31Probability DistributionDownload
32Binomial DistributionsDownload
33Linear ProgrammingDownload

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