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 . 14. y 2 y ′ = 4 x e 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 . 14. y 2 y ′ = 4 x e x − y
Solution Summary: The author explains that the equation y2ex 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
3. The differential equation of the family of curves whose equation is y = x' + ax? +bx+5
given by Ay"+By'+Cy Dx'+10. Find A, B, C, and D. The letters A to D can contain
is
numbers, variables, or combination thereof.
In Problems 1–18 solve each differential equation by variation of parameters.y''+3y'+2y=sin(e^x)
Chapter 9 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
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