Math 415
Name:
Quiz 4A
Find a differential equation whose general solution is
y
(
t
) =
C
1
e
2
t
+
C
2
e
-
3
t
.
The solutions could have come from the characteristic equation 0 = (
r
-
2)(
r
+ 3) =
r
2
+
r
-
6.
So the
differential equation
y
00
+
y
0
-
6
y
= 0 would work.
If the Wronskian of
f
(
t
) and
g
(
t
) is
t
2
e
t
and
f
(
t
) =
t
, find
g
(
t
).
The Wronskian of two functions can be written as
fg
0
-
This is the end of the preview.
Sign up
to
access the rest of the document.