For which of the cases below do the given functions form a fundamental set of solutions of the corresponding differential equation on the indicated interval? (i) y" – 7y' + 10y = 0; 5ex, 10e3*, (-∞, 0) (ii) y" – 6y' + 9y = 0; 5e³x, 4xe7*, (-∞,0) (iii) x²y" – 20xy' + 110y = 0; 2x10, &x!º, (0, ∞)
For which of the cases below do the given functions form a fundamental set of solutions of the corresponding differential equation on the indicated interval? (i) y" – 7y' + 10y = 0; 5ex, 10e3*, (-∞, 0) (ii) y" – 6y' + 9y = 0; 5e³x, 4xe7*, (-∞,0) (iii) x²y" – 20xy' + 110y = 0; 2x10, &x!º, (0, ∞)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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