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; 5e3x, 10eSx, (ii) у" — бу' + 9у (ii) х2у" - 20ху' + 110у %3D 0; 2x10, 8x10, (0, 0) (-0∞, 0) - 0; 5e3x, 4xe7*, (-∞, ∞)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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; 5e3x, 10eSx,
(ii) у" — бу' + 9у
(iii) x²y" – 20xy' + 110y
(iv) y" - 12y" + 21y' + 98у 3D 0, е7xх, хе^х, (2 + х)еТх, (-0, 0).
(-0∞, 0)
0; 5e3x, 4xe7*, (-∞, ∞)
0; 2x10, 8x10, (0, 0)
Transcribed Image Text: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; 5e3x, 10eSx, (ii) у" — бу' + 9у (iii) x²y" – 20xy' + 110y (iv) y" - 12y" + 21y' + 98у 3D 0, е7xх, хе^х, (2 + х)еТх, (-0, 0). (-0∞, 0) 0; 5e3x, 4xe7*, (-∞, ∞) 0; 2x10, 8x10, (0, 0)
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