Consider the differential equation (2y - 2x) dx + (kx + 5y) dy = 0, where k is a real number. If the given differential equation is exact, then
Consider the differential equation (2y - 2x) dx + (kx + 5y) dy = 0, where k is a real number. If the given differential equation is exact, then
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:Consider the differential equation
(2y − 2x) dx + (kx + 5y) dy = 0,
where k is a real number. If the given
differential equation is exact, then
k
♦
Then, the solution of the differential equation
is given by,
C,
where c is an arbitrary constant.
B)
C)
D)
A) - x² + 2xy
2
5y²
2
- x² - 2xy
- x² +
x² + 2xy +
E)
F) - x² - 2xy
-x² - 2xy +
5y²
2
5y²
2
2
5y²
2
5y²
2
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