Nonhomogeneous differential equations, Mathematics

Assignment Help:

Let's here start thinking regarding that how to solve nonhomogeneous differential equations.  A second order, linear non-homogeneous differential equation is as

y′′ + p (t) y′ +q (t) y = g (t )     .....................(1)

Here g(t) is a non-zero function. Note that we didn't go along with constant coefficients here since everything that we're going to do under this section doesn't need it.  Also, we're using a coefficient of 1 on the second derivative just to create some of the work a little simple to write down. This is not needed to be a 1.

Before talking about how to resolve one of these we require to get some fundamentals out of the way that are the point of this section.

First, we will call

 y′′ + p (t ) y′ + q (t ) y = 0 (2)

It is the associated homogeneous differential equation to (1). Here, let's take a look at the subsequent theorem.


Related Discussions:- Nonhomogeneous differential equations

What is the meaning of the f-statistic and f test, You are given the follow...

You are given the following regression results estimating the demand for widgets based on time series data for the past 40 months. Q t = 2.5 - 0.3 x P t + 12 x M t Where Q

Determine the price paid for a land, A parcel of land, value $250,000 is so...

A parcel of land, value $250,000 is sold to an investor who signs a contract agreeing to pay a deposit of $25,000 followed by equal quarterly payments for as long as necessary, wit

Squeeze theorem (sandwich theorem and the pinching theorem), Squeeze Theore...

Squeeze Theorem (Sandwich Theorem and the Pinching Theorem) Assume that for all x on [a, b] (except possibly at x = c ) we have,                                 f ( x )≤ h (

Example of learning constructing tables versus rote , Maya says thafl for i...

Maya says thafl for instance, to help the children of Class 2 construct the '5 times table', she uses their hands. Each child counts how many fingers on one hand, and then how ma

Definition of logarithms, Q. Definition of Logarithms? Ans. A loga...

Q. Definition of Logarithms? Ans. A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = a y , then log a  x

What difference among the areas of the two sections of a, If the areas of t...

If the areas of two sections of a garden are 6a + 2 and 5a, what is the difference among the areas of the two sections within terms of a? Because the question asks for the diff

Linear Programming, #question.A manufacturer produces two items, bookcases ...

#question.A manufacturer produces two items, bookcases and library tables. Each item requires processing in each of two departments. Department 1 has 40 hours available and departm

Find integer if consecutive even integers is the number 126, The sum of two...

The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a

Find out the volume of the solid -y = (x -1) ( x - 3)2, Find out the volume...

Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd