Problem #6: Find the orthogonal trajectories of the family of curves y6 = kx6. 7 ,3 (A) — 1²³ + 3x² 2₁ (B) 3y² + 3x² C (C) 4y³ + 4x² = C (D) √ √y² + 3x² 2. 7 7 (E) ½y³ + ½ x³ 2² 2 = с (G) 4 y² + 4x³ = = = с 5 (F) 3y² + 2√x² = C = C C 7 (H) 3y³ + ½ x³ = C

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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Problem #6:
Find the orthogonal trajectories of the family of
curves y6 = kx6.
7 ,3
(A) — 1²³ + 3x²
2₁
(B) 3y² + 3x²
C
(C) 4y³ + 4x² = C
7
7
(E) ½y³ + ½ x³
2²
2
= с
(D) √ √y² + 3x² с
=
=
(G) 4 y² + 4x³
=
5
(F) 3y² + ¾ x² = C
C
=
с
7
(H) 3y³ + ½ x³ = C
Transcribed Image Text:Problem #6: Find the orthogonal trajectories of the family of curves y6 = kx6. 7 ,3 (A) — 1²³ + 3x² 2₁ (B) 3y² + 3x² C (C) 4y³ + 4x² = C 7 7 (E) ½y³ + ½ x³ 2² 2 = с (D) √ √y² + 3x² с = = (G) 4 y² + 4x³ = 5 (F) 3y² + ¾ x² = C C = с 7 (H) 3y³ + ½ x³ = C
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