(х — Зу + 2)dx + 3(х + 3у — 4)dy —D 0 x-1 a. In[(x – 1)2 – 9(y – 1)²] – Arctan C 3 (у-1) | x-1 b. In[(x – 1)? + 9(y – 1)²] – Arctan C | (y-1) х-1 c. In[(x – 1)2 +9(y – 1)²] – Arctan C 3(у-1) у-1 d. In[(x – 1)² +9(y – 1)²] – Arctan 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 this equation (Please provide a complete solution)

Solve this equation using the Coefficient in Linear of 2 

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