(a) (b) dx = (c) x-y X = * dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above 6 y-x separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (x + 1) = -y + 15 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above

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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Question

Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve. (Select all that apply.)

x - y
dy
dx
=
X
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy
6
dx
y-x
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(c) (x + 1) d
dy
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(a)
(b)
=
= -y + 15
Transcribed Image Text:x - y dy dx = X separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy 6 dx y-x separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (c) (x + 1) d dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (a) (b) = = -y + 15
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