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.) (a) dy x + y dx X Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy dx y-x separable exact linear in x linear in y neous Bernoulli in x Bernoulli in y Onone of the above (x + 1) separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (b) U (c) = +1) dy = -y + 15
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.) (a) dy x + y dx X Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy dx y-x separable exact linear in x linear in y neous Bernoulli in x Bernoulli in y Onone of the above (x + 1) separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (b) U (c) = +1) dy = -y + 15
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:(d)
(e)
(f)
dy
dx
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy
y² + y
dx
x² + x
separable
exact
linear in x
O linear in y
=
1
x(x - y)
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy
:4y + y²
dx
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
=

Transcribed Image Text: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.)
dy x+y
=
dx
X
Oseparable
exact
linear in x
O linear in y
O homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
dy
=
=√x-*
dx
Oseparable
exact
linear in x
linear in y
☐ homogeneous
Bernoulli in x
Bernoulli in y
none of the above
(x + 1) = -y + 15
dx
Oseparable
exact
linear in x
linear in y
O homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
(b)
(c)
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