Linear differential equations, Mathematics

Assignment Help:

A linear differential equation is of differential equation which can be written in the subsequent form.

an(t) y(n) (t) + a n-1 (t) y(n-1) (t)+..............+ a1(t) y'(t) + a0 (t) y(t) = g (t)

The significant thing to note regarding linear differential equations is as there are no products of the function, y(t), and its derivatives and neither the function nor its derivatives arise to any power other than the first power.

The coefficients a0 (t),.........,an (t) and g (t) can be zero or non-zero functions, constant or non-constant functions, linear or non-linear functions. Merely the function, y (t), and its derivatives are employed in finding if a differential equation is linear.

If a differential equation can't be written in form, equation (11) then it is termed as a non-linear differential equation.


Related Discussions:- Linear differential equations

Factor expressions involving large powers, Factor Expressions Involving Lar...

Factor Expressions Involving Large Powers, Radicals, and Trig Functions You can use substitution to factor expressions involving large powers, radicals, and trig functions

Prove that a tree with n vertices has n - 1 edges, Prove that A tree with n...

Prove that A tree with n vertices has (n - 1) edges.    Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should

Find the sum of series r/(r+1)(r+2)(r+3)from 1 upto infinity, Apply the con...

Apply the concept of partial fraction and add the corresponding terms. The terms will get cut automatically leaving the first and last term

Probability, Probability -Probability is an extremely popular concept ...

Probability -Probability is an extremely popular concept in business management. Since it covers the risks such may be included in certain business situations. This is a fact

Calculate the probability, Given the following decision tree, perform the t...

Given the following decision tree, perform the tasks listed below  1. Simulate the route through the test market and produce results for twenty simulations, calculating the

Repeated eigenvalues, It is the last case that we require to take a look at...

It is the last case that we require to take a look at. During this section we are going to look at solutions to the system, x?' = A x? Here the eigenvalues are repeated eigen

How many ways are there to seat these children, Question: (a) Suppose ...

Question: (a) Suppose that a cookie shop has four different kinds of cookies. Assuming that only the type of cookie, and not the individual cookies or the order in which they

Logarithmic function:solve for x: 4 log x2, Solve for x: 4 log x = log (15 ...

Solve for x: 4 log x = log (15 x 2 + 16) Solution:              x 4 - 15 x 2 - 16 = 0                (x 2 + 1)(x 2 - 16) = 0                x = ± 4   But log x is

Transportation and assignment problem, what is transportation and assignmen...

what is transportation and assignment problem. give the computer application of transportation and assignment problem

What is the marginal product of labor function, Your engineering department...

Your engineering department estimated the following production function. Q = 15L 2 - 0.5L 3 a. What is the marginal product of labor function, MP L ? b. What is the aver

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