b. ešy² dx + (e*y – 2y) 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
Related questions
Question
Investigate the following exact or non-exact differential equations. Then determine the
solution.
![The image contains the following mathematical equations, which can serve as examples of differential equations on an educational website:
**Equation b:**
\[
e^{2x}y^2 \, dx + (e^{2x}y - 2y) \, dy = 0
\]
**Equation c:**
\[
(x + 4)(y^2 + 1) \, dx + y(x^2 + 3x + 2) \, dy = 0
\]
These equations are examples of first-order differential equations, involving differentials \( dx \) and \( dy \). Each equation represents relationships involving exponential, polynomial, and product terms with respect to \( x \) and \( y \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd8f2877-2578-48c0-ab77-5dda294aaf93%2Fc0cdff9e-8010-48e6-a0c4-c78171414cee%2Ftqzluge_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains the following mathematical equations, which can serve as examples of differential equations on an educational website:
**Equation b:**
\[
e^{2x}y^2 \, dx + (e^{2x}y - 2y) \, dy = 0
\]
**Equation c:**
\[
(x + 4)(y^2 + 1) \, dx + y(x^2 + 3x + 2) \, dy = 0
\]
These equations are examples of first-order differential equations, involving differentials \( dx \) and \( dy \). Each equation represents relationships involving exponential, polynomial, and product terms with respect to \( x \) and \( y \).
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