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 . 11. y ′ + 3 x 2 y + 9 = e x ( 1 − x + 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 . 11. y ′ + 3 x 2 y + 9 = e x ( 1 − x + y )
Solution Summary: The author explains how the equation yprime can be written in the variable separable form, the first order linear form 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.
2) Find the differential equation by eliminating the
arbitrary constants A and B from
B
y = 5 Ax+
-
X
What is the differential equation of the solution:y = C1e-9x + C2xe-9x + C3e7xchoices: (see attached pic)
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
Chapter 9 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
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