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Undergraduate
Calculus
Multivariable Calculus
( 1 5 points ) Find a particular solution. y ' '
Undergraduate
( 1 5 points ) Find a particular solution. y ' ' + 6 y ' + 9 y = e - 3 x 1
(
1
5
points
)
Find a particular solution.
y
'
'
+
6
y
'
+
9
y
=
e
-
3
x
1
-
x
2
2
(
a
)
(
5
points
)
Find the general solution:
y
'
'
'
'
+
8
y
'
'
+
1
6
y
=
0
.
(
b
)
(
5
points
)
Find an ODE with general solution
y
=
c
1
e
x
c
o
s
(
3
x
)
+
c
2
e
x
s
i
n
(
3
x
)
.
(
1
0
points
)
Solve the initial value problem in terms of a definite integral. Use that
y
h
=
c
1
x
5
+
c
2
x
5
l
n
(
x
)
is the homogeneous solution.
x
2
y
'
'
-
9
x
y
'
+
2
5
y
=
s
i
n
(
x
)
,
y
(
1
)
=
2
,
y
'
(
1
)
=
7
Step by Step Solution
1
Understanding Responsive Design Principles
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