Consider the two differential equations: I: (4x + 3y²)dx + 2xydy = 0 2y II: (x²+²x) dx + (In x² − 3)dy = 0 Which of the following statements is correct?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
icon
Related questions
Question
Consider the two differential equations:
I: (4x + 3y²) dx + 2xydy = 0
II: (x²+2) dx + (In x² − 3)dy = 0
-
Which of the following statements is correct?
I is exact and II is not an exact
differential equation
I is not exact but II is an exact
differential equation
Both I and II are exact differential
equations
Neither I nor II are exact differential
equations
Transcribed Image Text:Consider the two differential equations: I: (4x + 3y²) dx + 2xydy = 0 II: (x²+2) dx + (In x² − 3)dy = 0 - Which of the following statements is correct? I is exact and II is not an exact differential equation I is not exact but II is an exact differential equation Both I and II are exact differential equations Neither I nor II are exact differential equations
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,