Differential Equations — Fall 2011
Friday, 9/22/11
In-class review for Sections 4.2–4.5
1
Find the general solution to the differential equation
y
′′
+ 4
y
′
+ 13
y
= 0
.
2
Find the general solution to the differential equation
y
′′
−
4
y
′
+ 4
y
=
e
2
t
.
3
Find the general solution to the differential equation
y
′′′
+
y
′′
+
y
′
+
y
= 0
.
Hint: one of the roots of the corresponding characteristic polynomial
is
r
=
−
1
.
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Differential Equations — Fall 2011
Friday, 9/22/11
4
In an initial value problem, you are given a differential equation, to-
gether with a value of
y
and a value of
y
′
. In a
boundary value problem
,
on the other hand, you are given a differential equation and two values
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- Fall '08
- TUNCER
- Boundary value problem, λ, Boundary conditions
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