MAT 353
(Jones Spring 2000)
Differential Equations
Exam 3 (4.4 - Euler’s Method)
Write your SS # on each page you turn in to be graded - do not write your name anywhere on the
exam. Solve each of the following problem showing all work for partial credit.
1.
Consider the ODE
where
. Show that
if
,
and
, then
solves the
given second order ODE for all
.
2.
Consider the ODE
where
. Show that
if
, and
, show that
.
3.
Solve the following linear ODEs.
a.
b.
c.
4.
Solve the following linear homogeneous ODEs.
a.
b.
c.
d.
5.
Find a particular solution
for each ODE below.
a.
b.
c.
