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# Wronskian Calculator

To use wronksian calculator, enter the comma-separated value of a function, press the enter key, or hit the calculate button for the solution.

## Wronksian Calculator

Wronskian calculator calculates the **wronksian value **of a set of functions to evaluate whether the function is linearly independent or not. This generates a scalar value and also provides steps.

## What is meant by wronksian?

It is a mathematical technique that is used to determine whether the given set of functions is linearly dependent or independent. The **wronskian **is a determinant whose entries are the function and their corresponding derivatives.

If the value of **wornksian **is zero at some interval, then the functions are linearly dependent otherwise the functions are linearly dependent.

## Formula:

If we have functions **f _{1}, f_{2}, f_{3}… f_{n}**. then the determinate of

` n by n`

matrix with the **n-1**derivative of these functions.

## How to calculate wronksian problems?

In this section, we have solved a mathematical example by briefly describing each side of the problem with steps.

**Example**

By using the wronksian method find the value of the functional value is cos(x), sin(x), cos(2x).

**Solution:**

**Step 1: **First we have selected the functions which are three-dimensional.

`f`

_{1}= cos(x), f_{2}= sin(x), f_{3}= cos(2x)

**Step 2: **The wronksian is given by

**Step 3:** Now we have to find the derivative of the function

f_{1}= cos(x), f^{’}_{1}= -sin(x), f^{’’}_{1}= -cos(x)

f_{2}=sin(x), f^{’}_{2}= cos(x), f^{’’}_{2}= -sin(x)

f_{3}= cos(x), f^{’}_{3}= -2sin(2x), f^{’’}_{3}=-4cos(2x)

**Step 4:** Put the values in the corresponding positions

**Step 5: **Now simplify the determinant of order 3 by 3.

`W(f`

_{1}, f_{2}, f_{3})(x) = -3cos(2x)