Wronskian, Mathematics

Assignment Help:

In the earlier section we introduced the Wronskian to assist us find out whether two solutions were a fundamental set of solutions. Under this section we will look at the other application of the Wronskian and also an alternate method of computing the Wronskian.

Let's begin with the application. We require introducing a couple of new concepts first.

 Specified two non-zero functions f(x) and g(x) write down the subsequent equation

c f ( x ) + k g ( x ) = 0

See that c = 0 and k = 0 will make (1) true for all x regardless of the functions which we use.

Here, if we can get non-zero constants c and k for that (1) will also be true for all x so we call the two functions linearly dependent. Conversely, if the only two constants for that (1) is true are c = 0 and k = 0 so we call the functions linearly independent.


Related Discussions:- Wronskian

Calculus, I need help fast with my calculus work

I need help fast with my calculus work

Differential Equations, Verify Liouville''''s formula for y "-y" - y'''' + ...

Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1) ?

Advantages and limitations of game theory, Advantages And Limitations Of Ga...

Advantages And Limitations Of Game Theory Advantage Game theory assists us to learn how to approach and understand a conflict condition and to develop the decision making

Fractions, how do you convert in a quicker way?

how do you convert in a quicker way?

Construct the adjacency matrix and the adjacency lists, Question: Constrcut...

Question: Constrcut the adjacency matrix and the adjacency lists for the graph G below, where the weights associated with edges represent distances between nodes. If no edge is pre

Numerical method, find the newton raphson iterative formula for a reciproca...

find the newton raphson iterative formula for a reciprocal of a number N and hence find the value of 1/23

Determine the minimum cost , A company is taking bids on four construction ...

A company is taking bids on four construction jobs. Three Contractors have placed bids on the jobs. Their bids (in thousands of dollars) are given in the file. (A blank indicates n

Two circles touching internally prove that ox:oy=oa:ob, Two circles touchin...

Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a

Differential equation, Find the series solution of2x2y”+xy’+(x2-3)Y=0 about...

Find the series solution of2x2y”+xy’+(x2-3)Y=0 about regular singular pointuestion..

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