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Use the "mixed partials" check to see if the following differential equation is exact. (4x³ + y) dx + (x — 2y) dy = 0. This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ON -(x, y) = help (formulas) ax If the equation is exact, find a function F(x, y) whose differential, dF(x, y), is the left hand side of the differential equation. That is, the level curves F(x, y) = C are solutions to the differential equation. If the equation is not exact, enter "not exact". F(x, y) = help (formulas) Book: Section 1.8 of Notes on Diffy Qs

Use the "mixed partials" check to see if the following differential equation is exact. (4x³ + y) dx + (x — 2y) dy = 0. This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ON -(x, y) = help (formulas) ax If the equation is exact, find a function F(x, y) whose differential, dF(x, y), is the left hand side of the differential equation. That is, the level curves F(x, y) = C are solutions to the differential equation. If the equation is not exact, enter "not exact". F(x, y) = help (formulas) Book: Section 1.8 of Notes on Diffy Qs

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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.
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Use the "mixed partials" check to see if the following differential equation is exact. (4x³ + y) dx + (x — 2y) dy = 0. This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ON -(x, y) = help (formulas) ax If the equation is exact, find a function F(x, y) whose differential, dF(x, y), is the left hand side of the differential equation. That is, the level curves F(x, y) = C are solutions to the differential equation. If the equation is not exact, enter "not exact". F(x, y) = help (formulas) Book: Section 1.8 of Notes on Diffy Qs
Transcribed Image Text:Use the "mixed partials" check to see if the following differential equation is exact. (4x³ + y) dx + (x — 2y) dy = 0. This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ON -(x, y) = help (formulas) ax If the equation is exact, find a function F(x, y) whose differential, dF(x, y), is the left hand side of the differential equation. That is, the level curves F(x, y) = C are solutions to the differential equation. If the equation is not exact, enter "not exact". F(x, y) = help (formulas) Book: Section 1.8 of Notes on Diffy Qs
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