Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) whose differential, dF(x,y)  is the left hand side of the differential equation. That is, level curves F(x,y)=C  are solutions to the differential equation: (−1x^2−3y)dx+(−2x−4y^2)dy=0

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
Question

Use the "mixed partials" check to see if the following differential equation is exact.
If it is exact find a function F(x,y) whose differential, dF(x,y)
 is the left hand side of the differential equation. That is, level curves F(x,y)=C
 are solutions to the differential equation:
(−1x^2−3y)dx+(−2x−4y^2)dy=0 

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