#1: 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) "-10y+24y = 0; 3e4x, 8e4x, (-00,00) (ii) "-14y+49y=0; 2e7x, 8xe7x, (-00,00) (iii) x2"-12xy +42y = 0; 2x, 4x7, (iv) - (0,0) -4"-35y' + 150y ·0, e5x, xexex (-00,00). (A) (ii) and (iii) only (B) (iii) only (C) (i) only (D) (i) and (ii) only (E) all of them (F) (i), (ii), and (iii) only (G) (i) and (iii) only (H) (iii) and (iv) only (I) (i) and (iv) only (J) (ii), (iii), and (iv) only (K) (i), (ii), and (iv) only (L) (ii) and (iv) only (M) (ii) only (N) none of them (O) (i), (iii), and (iv) only (P) (iv) only

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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#1: 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) "-10y+24y = 0; 3e4x, 8e4x, (-00,00)
(ii) "-14y+49y=0; 2e7x, 8xe7x, (-00,00)
(iii) x2"-12xy +42y = 0; 2x, 4x7,
(iv)
-
(0,0)
-4"-35y' + 150y ·0, e5x, xexex (-00,00).
(A) (ii) and (iii) only (B) (iii) only (C) (i) only (D) (i) and (ii) only (E) all of them (F) (i), (ii), and (iii) only
(G) (i) and (iii) only (H) (iii) and (iv) only (I) (i) and (iv) only (J) (ii), (iii), and (iv) only
(K) (i), (ii), and (iv) only (L) (ii) and (iv) only (M) (ii) only (N) none of them (O) (i), (iii), and (iv) only
(P) (iv) only
Transcribed Image Text:#1: 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) "-10y+24y = 0; 3e4x, 8e4x, (-00,00) (ii) "-14y+49y=0; 2e7x, 8xe7x, (-00,00) (iii) x2"-12xy +42y = 0; 2x, 4x7, (iv) - (0,0) -4"-35y' + 150y ·0, e5x, xexex (-00,00). (A) (ii) and (iii) only (B) (iii) only (C) (i) only (D) (i) and (ii) only (E) all of them (F) (i), (ii), and (iii) only (G) (i) and (iii) only (H) (iii) and (iv) only (I) (i) and (iv) only (J) (ii), (iii), and (iv) only (K) (i), (ii), and (iv) only (L) (ii) and (iv) only (M) (ii) only (N) none of them (O) (i), (iii), and (iv) only (P) (iv) only
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