Solve the given equation.. (3x²y + 2xy+y³)dx + (x² + y²)dy=0
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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![### Differential Equations: Problem Solving
**Problem Statement:**
Solve the given equation:
\[ (3x^2 y + 2xy + y^3) dx + (x^2 + y^2) dy = 0 \]
**Options:**
a. \((3x^2 y + y)e^{3x} = C\)
b. \((3x^2 y + y^2)e^{3x} = C\)
c. \((3xy + y^3)e^{3x} = C\)
d. \((3x^2 y + y^2)e^x = C\)
e. \((3x^2 y^3 + y^2)e^{3x} = C\)
**Answer Choices:**
- ○ a
- ○ b
- ○ c
- ○ d
- ○ e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa72e8965-bd79-4464-a740-a72095a0be2c%2F1978d6e5-7e8f-437f-873b-4b4c81ed9c2c%2Fw5nlu6n_processed.png&w=3840&q=75)
Transcribed Image Text:### Differential Equations: Problem Solving
**Problem Statement:**
Solve the given equation:
\[ (3x^2 y + 2xy + y^3) dx + (x^2 + y^2) dy = 0 \]
**Options:**
a. \((3x^2 y + y)e^{3x} = C\)
b. \((3x^2 y + y^2)e^{3x} = C\)
c. \((3xy + y^3)e^{3x} = C\)
d. \((3x^2 y + y^2)e^x = C\)
e. \((3x^2 y^3 + y^2)e^{3x} = C\)
**Answer Choices:**
- ○ a
- ○ b
- ○ c
- ○ d
- ○ e
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