In Problems 11–16, determine whether the differential equation can be written in the separation of variables form f ( y ) y ′ = g ( x ) , the first-order linear form y ′ + f ( x ) y = g ( x ) , both forms, or neither form . 15. y ′ y = 1 x + 1 y
In Problems 11–16, determine whether the differential equation can be written in the separation of variables form f ( y ) y ′ = g ( x ) , the first-order linear form y ′ + f ( x ) y = g ( x ) , both forms, or neither form . 15. y ′ y = 1 x + 1 y
Solution Summary: The author explains that the given equation yprime can be written in the first order linear form, both forms or neither form.
In Problems 11–16, determine whether the differential equation can be written in the separation of variables form
f
(
y
)
y
′
=
g
(
x
)
, the first-order linear form
y
′
+
f
(
x
)
y
=
g
(
x
)
, both forms, or neither form.
What is the differential equation of family of parabolas with vertex on the x – axis and axis parallel to the y – axis
One of the below is a condition of a linear differential equation.
A. dependent variable and its derivative are of degree greater than one
B. Term coefficients should be dependent on the unknown variable
C. coefficients of a term does not depend upon dependent variable
D. all derivative process should be in terms of the constant variable
11-14 Find the differential of each function.
11. (a) y = xe-4x
(b) y=√1-14
Chapter 9 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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