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

Fundamentals of math, When there are 4 dots how many chords are they

When there are 4 dots how many chords are they

Trigonometry, show that, sin 90 degree = 2 cos 45 degree sin 45 degree

show that, sin 90 degree = 2 cos 45 degree sin 45 degree

Example of word problems involving money, Example of Word Problems Involvin...

Example of Word Problems Involving Money: A collection of coins consists of nickels, dimes & quarters. The number of quarters is double the number of nickels, and the number o

Rental car agency has 50 cars, Rental car agency has 50 cars. Rental rate i...

Rental car agency has 50 cars. Rental rate in winter is 60%. What is probability that in give winter month the rental rate is fewer than 35 cars rented? Use normal distribution to

What are the properties of normal distribution, What are the properties of ...

What are the properties of Normal distribution? The normal curve is symmetrical when p=q or p≈q The normal curve is a single peaked curve The normal curve is asymptotic t

3, LAST COST METHOD

LAST COST METHOD

What is the volume of this prism in terms of x, The area of the base of a p...

The area of the base of a prism can be expressed as x2 + 4x + 1 and the height of the prism can be expressed as x - 3. What is the volume of this prism in terms of x? Because t

Explain polynomials, P OLYNOMIALS : It is  not  once  nor  twice  b...

P OLYNOMIALS : It is  not  once  nor  twice  but  times  without  number  that the  same ideas make  their  appearance in the  world. 1.  Find the value for K for which

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