Problem #4: For which of the following points does Theorem 1.2.1 guara

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Problem #4: For which of the following points does Theorem 1.2.1 guarantee that the differential equation y′ = ex2 36 − y2 possesses a unique solution through the given point? (i) (−3, 6) (ii) (0, 2) (iii) (4, 9) (A) (i) and (iii) only (B) (ii) and (iii) only (C) (ii) only (D) all of them (E) none of them (F) (i) and (ii) only (G) (i) only (H) (iii) only

Problem #4: For which of the following points does Theorem 1.2.1 guarantee that the differential equation y′ = ex2 36 − y2 possesses a unique solution through the given point? (i) (−3, 6) (ii) (0, 2) (iii) (4, 9) (A) (i) and (iii) only (B) (ii) and (iii) only (C) (ii) only (D) all of them (E) none of them (F) (i) and (ii) only (G) (i) only (H) (iii) only

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Problem #4: For which of the following points does Theorem 1.2.1 guarantee that the differential equation

y^{'} = e^{x^{2}} \sqrt{36 - y^{2}}

possesses a unique solution through the given point? (i)

(- 3, 6)

(ii)

(0, 2)

(iii)

(4, 9)

(A) (i) and (iii) only (B) (ii) and (iii) only (C) (ii) only (D) all of them (E) none of them (F) (i) and (ii) only (G) (i) only (H) (iii) only

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