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) gives the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: First rewrite as where M(x, y) = and N (x, y) = dy da = 3x - 2y 2x + 4y³ M(x, y) dx + N(x, y) dy = 0 If the equation is not exact, enter not exact, otherwise enter in F(x, y) as the solution of the differential equation here = C.
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) gives the differential equation. That is, level curves F(x, y) = C are solutions to the differential equation: First rewrite as where M(x, y) = and N (x, y) = dy da = 3x - 2y 2x + 4y³ M(x, y) dx + N(x, y) dy = 0 If the equation is not exact, enter not exact, otherwise enter in F(x, y) as the solution of the differential equation here = C.
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.
If it is exact find a function F(x, y) whose differential, dF(x, y) gives the differential equation. That is,
level curves F(x, y) = Care solutions to the differential equation:
First rewrite as
where M(x, y) =
and N (x, y)
=
dy
da
=
3x - 2y
2x + 4y³
M(x,y) dx + N(x, y) dy = 0
If the equation is not exact, enter not exact, otherwise enter in F(x, y) as the solution of the differential
equation here
= C.
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