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

Problem, if .77x + x = 8966.60, what is the value of x?

if .77x + x = 8966.60, what is the value of x?

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

Lattice or complement lattice, Let  be the set of all divisors of n. Constr...

Let  be the set of all divisors of n. Construct a Hasse diagram for D15, D20,D30. Check whether it is a lattice Or Complement lattice.

Determine the conditional probability, Consider a class of 55 students. The...

Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi

Natural numbers, To begin with we have counting numbers. These ...

To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai

Decision theory, Decision Theory Decisions There are many types of ...

Decision Theory Decisions There are many types of decision making 1.      Decision making under uncertainty It refer to situations where more than one outcome can r

Laws of logarithms, express each logariths in terms of log3 P and log3 Q. 1...

express each logariths in terms of log3 P and log3 Q. 1. log3 P^2 Q^3

Solid mensuration, given dimensions: 130cm, 180cm, and 190cm is to be divid...

given dimensions: 130cm, 180cm, and 190cm is to be divided by a line bisecting the longest side shown from its opposite vertex. what''s the area adjacent to 180cm? ;

Find x if circle passes through -3, The centre of a circle is (2x - 1, 3x +...

The centre of a circle is (2x - 1, 3x + 1).Find x if the circle passes through (-3,-1) and the length of the diameter is 20 units.

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