For which of the cases below is the given two-parameter family of functions the general solution of the corresponding nonhomogeneous differential equation on the indicated interval? (i) y" – 7y' + 10y = 50x2 – 70x + 10; e2x + 5x², y = c1 ex + c2 (-00, 00) (il) у" — бу' + 9у —D 64 sin x - 8 cos x; y = cj e3x + c2 xe3x + 8sin x, (-∞, 0) (iii) x*y" – 20xy' + 110y 264; y = c1x10 + c2 x1 + 2, C1 X

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For which of the cases below is the given two-parameter family of functions the general
solution of the corresponding nonhomogeneous differential equation on the indicated
interval?
50x2 – 70x + 10;
e2x + 5x², (-∞, ∞0)
(i) у" — Ту' + 10у
y = c1 ex + c2
(ii) y" – 6y' + 9y = 64 sin x - 8 cos x;
y = c1 e* + c2 xe* + 8sin x, (-∞,∞)
(ii) x-у" - 20ху + 110у %3D
204 ;
y = c1x10 + c2 x" +
2
(0, 0)
х
Transcribed Image Text:For which of the cases below is the given two-parameter family of functions the general solution of the corresponding nonhomogeneous differential equation on the indicated interval? 50x2 – 70x + 10; e2x + 5x², (-∞, ∞0) (i) у" — Ту' + 10у y = c1 ex + c2 (ii) y" – 6y' + 9y = 64 sin x - 8 cos x; y = c1 e* + c2 xe* + 8sin x, (-∞,∞) (ii) x-у" - 20ху + 110у %3D 204 ; y = c1x10 + c2 x" + 2 (0, 0) х
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