Consider the differential equation: 7e= + (81y° sec(2y) – 2e= tan(2y))y/ = 0. a. This equation is not exact because M, = does not equal N, b. Find an integrating factor, µ, to make the equation exact. Do not include an arbitrary constant in your answer for H. By assuming that µ is a function of only (enter a or y), we get that µ= c. Using the integrating factor, we get that the general solution is V(x, y) = = C.
Consider the differential equation: 7e= + (81y° sec(2y) – 2e= tan(2y))y/ = 0. a. This equation is not exact because M, = does not equal N, b. Find an integrating factor, µ, to make the equation exact. Do not include an arbitrary constant in your answer for H. By assuming that µ is a function of only (enter a or y), we get that µ= c. Using the integrating factor, we get that the general solution is V(x, y) = = 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:Consider the differential equation: 7e= + (81y° sec(2y) – 2e= tan(2y))y/ = 0.
a. This equation is not exact because M, =
does not equal N,
b. Find an integrating factor, µ, to make the equation exact. Do not include an arbitrary constant in
your
answer for
H.
By assuming that µ is a function of only
(enter a or y), we get that µ=
c. Using the integrating factor, we get that the general solution is V(x, y) =
= C.
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