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? 9. [T] y ″ + 14 y ′ + 49 y = 0 ; y ( x ) = c 1 e − 7 x + c 2 x e − 7 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? 9. [T] y ″ + 14 y ′ + 49 y = 0 ; y ( x ) = c 1 e − 7 x + c 2 x e − 7 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?
9. [T]
y
″
+
14
y
′
+
49
y
=
0
;
y
(
x
)
=
c
1
e
−
7
x
+
c
2
x
e
−
7
x
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