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

What will the day of the week be the further time at the gym, Max goes to t...

Max goes to the gym every fourth day. Ellen's exercise routine is to go every third day. Today is Monday and both Max and Ellen are at the gym. What will the day of the week be the

Determine y inverse for x2 + y 4 = 10, Determine  y′′  for           ...

Determine  y′′  for                                x 2 + y 4   = 10 Solution: We know that to get the second derivative we required the first derivative and to get that w

Compute the measure of the larger angle, Two angles are supplementary. The ...

Two angles are supplementary. The evaluate of one is 30 more than twice the measure of the other. Determine the measure of the larger angle. a. 130° b. 20° c. 50° d. 70

Elementary row operations to reduce the augmented matrix, Consider the syst...

Consider the system of linear equations X + ay = 1 2x + 8y = b Where a and b are real numbers. (a)  Write out the augmented matrix for this system of linear equations.

Index shift - sequences and series, Index Shift - Sequences and Series ...

Index Shift - Sequences and Series The main idea behind index shifts is to start a series at a dissimilar value for whatever the reason (and yes, there are legitimate reasons

Quadaric equation, two numbers differ by 7 and have a product of 120.what a...

two numbers differ by 7 and have a product of 120.what are they ?

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