Explanation Given information: The given function are y 1 = x and y 2 = x 2 . Concept Used: The Wronskian of two differentiable functions f and g , denoted by W (f, g) , is defined as the function given by the determinant W ( f , g ) = | f g f ' g ' | . Proof: First, find the derivative of the y 1 and y 2 with respect to x , we get y 1 ' = 1 and y 2 ' = 2 x Now, we have to find the determinant W ( y 1 , y

11th Edition

ISBN: 9781337604796

Author: Larson

Publisher: CENGAGE L

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Chapter 16.2, Problem 74E

To determine

To verify:

The two function y1=x and y2=x2 are linearly independent by using Wronskian Method.

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Chapter 16.2, Problem 73E

Chapter 16.3, Problem 1E

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To verify: The two function y 1 = x and y 2 = x 2 are linearly independent by using Wronskian Method.

Solution Summary: The author explains the Wronskian of two differentiable functions f and g, denoted by W.

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To verify:

The two function y1=x and y2=x2 are linearly independent by using Wronskian Method.

Want to see the full answer?

Chapter 16 Solutions

To verify: The two function y 1 = x and y 2 = x 2 are linearly independent by using Wronskian Method.

Solution Summary: The author explains the Wronskian of two differentiable functions f and g, denoted by W.

Concept explainers

Videos

To verify: The two function y1=x and y2=x2 are linearly independent by using Wronskian Method.

Want to see the full answer?

Chapter 16 Solutions

To verify:

The two function y1=x and y2=x2 are linearly independent by using Wronskian Method.