According to Problem 51 in Section 5.1, the substitution v = ln x (x > 0) transforms

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According to Problem 51 in Section 5.1, the substitution v = ln x (x > 0) transforms the second-order Euler equation ax2y'' + bxy' + cy = 0 to a constant-coefficient homogeneous linear equation. Show similarly that this same substitution transforms the third-order Euler equation

(where a, b, c, d are constants) into the constant coefficient equation

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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