Find the differential equation of the following function (х — Зу + 2)dx + 3(х + Зу — 4)dy — 0 х-1 a. In[(x – 1)2 - 9(y – 1)²] – Arctan C 3 (у-1) х-1 b. In[(x – 1)? + 9(y – 1)²] – Arctan C (y-1) х-1 = C c. In[(x – 1)2 + 9(y – 1)²] – Arctan 3(у-1) y-1 d. In[(x – 1)² + 9(y – 1)²] – Arctan = C 3 (х-1) e. None of the above

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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Find the differential equation of the following function
(х — Зу + 2)dx + 3(х + Зу — 4)dy — 0
х-1
a. In[(x – 1)2 - 9(y – 1)²] – Arctan
C
3 (у-1)
х-1
b. In[(x – 1)? + 9(y – 1)²] – Arctan
C
(y-1)
х-1
= C
c. In[(x – 1)2 + 9(y – 1)²] – Arctan
3(у-1)
y-1
d. In[(x – 1)² + 9(y – 1)²] – Arctan
= C
3 (х-1)
e. None of the above
Transcribed Image Text:Find the differential equation of the following function (х — Зу + 2)dx + 3(х + Зу — 4)dy — 0 х-1 a. In[(x – 1)2 - 9(y – 1)²] – Arctan C 3 (у-1) х-1 b. In[(x – 1)? + 9(y – 1)²] – Arctan C (y-1) х-1 = C c. In[(x – 1)2 + 9(y – 1)²] – Arctan 3(у-1) y-1 d. In[(x – 1)² + 9(y – 1)²] – Arctan = C 3 (х-1) e. None of the above
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