Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 4 - Vector Spaces - 4.8 Applications of Vector Spaces - 4.8 Exercises - Page 219: 16


$$W=-4x \mathrm{e}^{x^{2}} \mathrm{e}^{-x^{2}}$$

Work Step by Step

The Wronskian of $\left\{e^{x^{2}}, e^{-x^{2}}\right\}$ is given by $$W=\left|\begin{array}{cc}{e^{x^{2}}} & {e^{-x^{2}}} \\ {2 x e^{x^{2}}} & {-2 x e^{-x^{2}}}\end{array}\right|=-4x \mathrm{e}^{x^{2}} \mathrm{e}^{-x^{2}}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.