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

Quadriatic-equations, Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal r...

Q. a(b - c)x^2 + b(c - a)x + c(a - b) = 0 has equal roots then b = ? Ans: Condition that a quadratic equation ax² + bx + c = 0 has equal roots is: Its discriminant, b² - 4ac = 0 A

Example of hcf, Example  Find the Highest Common Factor of 54, 72...

Example  Find the Highest Common Factor of 54, 72 and 150. First we consider 54 and 72. The HCF for these two quantities is calculated as follows:

Find the initial number of balls, Balls are arranged in rows to form an equ...

Balls are arranged in rows to form an equilateral triangle .The first row consists of one ball, the second two balls and so on.   If 669 more balls are added, then all the balls ca

Find the co ordinates of p such that ap =3/7 ab and p lies, If A & B are (-...

If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that AP =3/7 AB and P lies on the line segment AB.

Farmer counting grasshoppers in his fields, Farmer counting grasshoppers in...

Farmer counting grasshoppers in his fields, probably not normally distributed due to growing conditions. After various rows the mean number of grasshoppers is 57 SD 12. What will b

the word rotor, a)    A palindrome is a word that reads the similar whethe...

a)    A palindrome is a word that reads the similar whether read from right to left or from the left to right, the word ROTOR, for example. Let  be the number of words of length n,

Properties of definite integral, Properties 1.  ∫ b a f ( x ) dx = -∫ ...

Properties 1.  ∫ b a f ( x ) dx = -∫ b a f ( x ) dx .  We can interchange the limits on any definite integral, all that we have to do is tack a minus sign onto the integral

Find the perimeter of triangle, The length of the sides of a triangle are 2...

The length of the sides of a triangle are 2x + y/2 , 5 x/3 + y + 1/2  and 2/3 x  + 2y + 5/2. If the triangle is equilateral. Find its perimeter. A ns: 2x + y/2 = 4x + y

Write down those features of such interactions, After seeing some children ...

After seeing some children interacting naturally, write down those features of such interactions that make peer learning potentially a better way of learning. Another point that

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