Classify each differential equation as separable, exact, linear in x or y, homogeneous, or bernoulli on x or y. Some equations may be more than one kind. Do not solve the equations. (select all that apply)
Transcribed Image Text:(e)
dy y² + y
dx
x² + x
separable
exact
(h)
=
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
X
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Ű
X
dy
dx
separable
exact
linear in x
linear in y
homogeneous
yexy - x
Bernoulli in x
Bernoulli in y
none of the above
X
exact
(i) xyy' + y² = 2x
separable
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
X
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(j) 2xyy' + y² = 2x²
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
X
(k) x dx + y dy=0
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
X
A
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
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