27) y
+
2y 0
=
if
y
em* =
is a solution of
above differential equation,
what would be the value of
m?
mX
= emx MX
y e
y
me
=
1 =
dX
+
y zy = 0
memx 2emx
+
0
=
D
= em (m 2) +
0
=
m>0
*
** -D
sem. *MPOSSIBLE
m -
=
2
ent
a
-
mo
y"- Sy' by 0 emx what is m?
i
y
=
+ =
m2 enx
ex y1 Yeux
=
y
=
=
m2 em" - SmeMY + GemY 0
=
emx(m2 -
5m 6)
+
0
=
-mx impossible
E
=
0
m2 -
5m 6
+ 0
= D(m
= -
2)(m 3)
-
0
=
m 2
=
and m 3
=
valid
Thus
y=
e2 and yet both are
solutions of
this
diff. equation
+
2y 0
=
if
y
em* =
is a solution of
above differential equation,
what would be the value of
m?
mX
= emx MX
y e
y
me
=
1 =
dX
+
y zy = 0
memx 2emx
+
0
=
D
= em (m 2) +
0
=
m>0
*
** -D
sem. *MPOSSIBLE
m -
=
2
ent
a
-
mo
y"- Sy' by 0 emx what is m?
i
y
=
+ =
m2 enx
ex y1 Yeux
=
y
=
=
m2 em" - SmeMY + GemY 0
=
emx(m2 -
5m 6)
+
0
=
-mx impossible
E
=
0
m2 -
5m 6
+ 0
= D(m
= -
2)(m 3)
-
0
=
m 2
=
and m 3
=
valid
Thus
y=
e2 and yet both are
solutions of
this
diff. equation
