1 dx x(x - y²) separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy dx - 1³+y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy (f) dx = 3y + y² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (d) (e)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 54E: Plant Growth Researchers have found that the probability P that a plant will grow to radius R can be...
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(d)
U
(f)
U
(e)
dy
dx
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy
y³ + y
dx
x³ + x
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy = 3y + y²
dx
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
1
x(x - y²)
=
Transcribed Image Text:(d) U (f) U (e) dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy y³ + y dx x³ + x separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy = 3y + y² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above 1 x(x - y²) =
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
(a)
dx
Oseparable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
dy
7
dx
y - x
separable
exact
Olinear in x
Olinear in y
(b)
=
homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
(c) (x +
= y + 5
Oseparable
exact
Olinear in x
linear in y
O homogeneous
Bernoulli in x
Bernoulli in y
Onone 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 (a) dx Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above dy 7 dx y - x separable exact Olinear in x Olinear in y (b) = homogeneous Bernoulli in x Bernoulli in y Onone of the above (c) (x + = y + 5 Oseparable exact Olinear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,