Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) 1 dx x?y3 + x°y? = 0 dy 3..2 1 + 9x2
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.) 1 dx x?y3 + x°y? = 0 dy 3..2 1 + 9x2
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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![**Problem Statement:**
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.)
\[
\left( x^2 y^3 - \frac{1}{1 + 9x^2} \right) \frac{dx}{dy} + x^3 y^2 = 0
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19331858-c67c-414f-8328-5459040eae8a%2Fb40643f9-8e78-47de-bc52-fc7f5b25728f%2F9i56y4k.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not exact, enter NOT.)
\[
\left( x^2 y^3 - \frac{1}{1 + 9x^2} \right) \frac{dx}{dy} + x^3 y^2 = 0
\]
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