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

Series solutions to differential equation, Before we find into finding seri...

Before we find into finding series solutions to differential equations we require determining when we can get series solutions to differential equations. Therefore, let's start wit

Partial Differentiation, If the sides angles of a triangle ABC vary in such...

If the sides angles of a triangle ABC vary in such a way that it''s circum - radius remain constant. Prove that, da/cos A +db/cos B+dc/cos C=0

In terms of x what is the area of her garden, Laura has a rectangular garde...

Laura has a rectangular garden whose width is x 3 and whose length is x4. In terms of x, what is the area of her garden? Since the area of a rectangle is A = length times widt

Two consecutive positive integers whose product is 90, What is the lesser o...

What is the lesser of two consecutive positive integers whose product is 90? Let x = the lesser integer and let x + 1 = the greater integer. Because product is a key word for m

Function of a function, Function of a Function Suppose ...

Function of a Function Suppose y is a function of z,            y = f(z) and z is a function of x,            z = g(x)

Draw a lattice hierarchy for dimension, New England University maintains a ...

New England University maintains a data warehouse that stores information about students, courses, and instructors. Members of the university's Board of Trustees are very much inte

Logarithm, I need help with one logarithm problem

I need help with one logarithm problem

Area of a circle, How do you find the area of a circle given the diameter?

How do you find the area of a circle given the diameter?

Graphing formulas, how do you graph y+3=-x+3x on a TI-83 graphing calculato...

how do you graph y+3=-x+3x on a TI-83 graphing calculator?

HELP, HOW MANY TENS ONES AND HUNDRED ARE IN A GROUP OF 2

HOW MANY TENS ONES AND HUNDRED ARE IN A GROUP OF 2

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