For each of the following problems, verify that the given function is a solution to the differential equation. Use a graphing utility to graph the particular solutions for several values of c 1 and c 2 . What do the solutions have in common? 10. [T] 6 y ″ − 49 y ′ + 8 y = 0 ; y ( x ) = c 1 e x / 6 + c 2 e 8 x
For each of the following problems, verify that the given function is a solution to the differential equation. Use a graphing utility to graph the particular solutions for several values of c 1 and c 2 . What do the solutions have in common? 10. [T] 6 y ″ − 49 y ′ + 8 y = 0 ; y ( x ) = c 1 e x / 6 + c 2 e 8 x
For each of the following problems, verify that the given function is a solution to the differential equation. Use a graphing utility to graph the particular solutions for several values of c1and c2. What do the solutions have in common?
10. [T]
6
y
″
−
49
y
′
+
8
y
=
0
;
y
(
x
)
=
c
1
e
x
/
6
+
c
2
e
8
x
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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