For Problems 34-35, determine two linearly independent solutions to the given differential equation of the form y ( x ) = x r , and thereby determine the general solution to the differential equation on ( 0 , ∞ ) . x 2 y ″ + 3 x y ′ − 8 y = 0 , x > 0 .
For Problems 34-35, determine two linearly independent solutions to the given differential equation of the form y ( x ) = x r , and thereby determine the general solution to the differential equation on ( 0 , ∞ ) . x 2 y ″ + 3 x y ′ − 8 y = 0 , x > 0 .
Solution Summary: The author explains the linearly independent solutions to the given differential equation of the form y(x)=x
For Problems 34-35, determine two linearly independent solutions to the given differential equation of the form
y
(
x
)
=
x
r
, and thereby determine the general solution to the differential equation on
(
0
,
∞
)
.
x
2
y
″
+
3
x
y
′
−
8
y
=
0
,
x
>
0
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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