Investigate, showing your analytical work, whether each of the following equations is: Separable-Non-separable, Exact or non-exact, linear or nonlinear, "in both x and y" homogeneous or non-homogeneous Bernoulli or nonBernoulli 1. (x + y°\dx + (x² – xy)dy = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Investigate, showing your analytical work, whether each of the following equations is:
Separable-Non-separable,
Exact or non-exact,
linear or nonlinear, "in both x and y"
homogeneous or non-homogeneous
Bernoulli or nonBernoulli
1. (x + y'\dx + (x° – xy)dy = 0
x+ ye"] dx + \x e" ]dy = 0
dy
3.
cos x
+ (sin x) y = 1
dx
4.
dt
dN
+ N = Nte*?
5.
(2 y sin x cos x – y + 2y²e") dx = (x – sin²x – 4.xye")dy
dy + = 1
6.
dx
The answer can be submitted in pdf or image format
Transcribed Image Text:Investigate, showing your analytical work, whether each of the following equations is: Separable-Non-separable, Exact or non-exact, linear or nonlinear, "in both x and y" homogeneous or non-homogeneous Bernoulli or nonBernoulli 1. (x + y'\dx + (x° – xy)dy = 0 x+ ye"] dx + \x e" ]dy = 0 dy 3. cos x + (sin x) y = 1 dx 4. dt dN + N = Nte*? 5. (2 y sin x cos x – y + 2y²e") dx = (x – sin²x – 4.xye")dy dy + = 1 6. dx The answer can be submitted in pdf or image format
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