Verify that y 1 = x and y 2 = x 2 are linearly independent solutions on

Question:

Verify that y1 = x and y2 = x2 are linearly independent solutions on the entire real line of the equation

x2y'' - 2xy' + 2y = 0,

but that W(x , x2) vanishes at x = 0. Why do these observations not contradict part (b) of Theorem 3?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

Question Posted: