Use the "mixed partials" check to see if the following differential equation is exact. (xy²+2y) dx + (x²y + 2x) dy = 0 This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ΟΝ -(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, 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. (xy²+2y) dx + (x²y + 2x) dy = 0 This equation has the form M(x, y) dx + N(x, y) dy = 0. Find: әм მყ -(x, y) = help (formulas) ΟΝ -(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, 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
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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Transcribed Image Text:Use the "mixed partials" check to see if the following differential equation is exact.
(xy²+2y) dx + (x²y + 2x) dy = 0
This equation has the form M(x, y) dx + N(x, y) dy = 0. Find:
әм
მყ
-(x, y)
=
help (formulas)
ΟΝ
-(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, 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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