Determine whether the equation is exact. If it is exact, find the solution. (e*siny + 4y)dx - (4x - e³siny)dy 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Determine whether the equation is exact. If it is exact, find the solution.
4
2e\ycosy + y² = c
4
2e³ycosy-y²=
y² = 0
C
2eycosy-et-
et = ₁² = 0
C
2eycosy + e*-
= C
O The differential equation is not exact
₁²
(eˇsiny + 4y)dx - (4x - e³siny)dy = 0
Transcribed Image Text:Determine whether the equation is exact. If it is exact, find the solution. 4 2e\ycosy + y² = c 4 2e³ycosy-y²= y² = 0 C 2eycosy-et- et = ₁² = 0 C 2eycosy + e*- = C O The differential equation is not exact ₁² (eˇsiny + 4y)dx - (4x - e³siny)dy = 0
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