In Problems 41 through 44 , a differential equation and a non-trivial solution f are given. Find a second linearly independent solution using reduction of order. t x ′′ − ( t + 1 ) x ′ + x = 0 , t > 0 ; f ( t ) = e t
In Problems 41 through 44 , a differential equation and a non-trivial solution f are given. Find a second linearly independent solution using reduction of order. t x ′′ − ( t + 1 ) x ′ + x = 0 , t > 0 ; f ( t ) = e t
In Problems 41 through 44, a differential equation and a non-trivial solution
f
are given. Find a second linearly independent solution using reduction of order.
t
x
′′
−
(
t
+
1
)
x
′
+
x
=
0
,
t
>
0
;
f
(
t
)
=
e
t
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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