Solve the given equation.. (x + 2)sinydx + xcosydy=0 a. b. C. d. x²exsiny = C e. x²excosy=C O O a b C d xe Xcosy= C xe*siny = C x²e*sinycosy=C e

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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discrete math

select correct option

**Solve the given equation:**

\[
(x + 2) \sin y \, dx + x \cos y \, dy = 0
\]

**Options:**

a. \( xe^x \cos y = C \)

b. \( xe^x \sin y = C \)

c. \( x^2 e^x \sin y \cos y = C \)

d. \( x^2 e^x \sin y = C \)

e. \( x^2 e^x \cos y = C \)

**Select the correct option:**

- ○ a
- ○ b
- ○ c
- ○ d
- ○ e
Transcribed Image Text:**Solve the given equation:** \[ (x + 2) \sin y \, dx + x \cos y \, dy = 0 \] **Options:** a. \( xe^x \cos y = C \) b. \( xe^x \sin y = C \) c. \( x^2 e^x \sin y \cos y = C \) d. \( x^2 e^x \sin y = C \) e. \( x^2 e^x \cos y = C \) **Select the correct option:** - ○ a - ○ b - ○ c - ○ d - ○ e
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Given differential equation x+2sinydx+xcosydy=0

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