In each of Problems 27 through 43 , solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing t . 4 y ' ' − y ' = 0 , y ( − 2 ) = 1 , y ' ( − 2 ) = − 1
In each of Problems 27 through 43 , solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing t . 4 y ' ' − y ' = 0 , y ( − 2 ) = 1 , y ' ( − 2 ) = − 1
In each of Problems
27
through
43
, solve the given initial value problem. Sketch the graph of its solution and describe its behaviour for increasing
t
.
4
y
'
'
−
y
'
=
0
,
y
(
−
2
)
=
1
,
y
'
(
−
2
)
=
−
1
Solve the following boundary value problem using method of separation of variables
ди
11.07 (137)
1 J²u
+
= = 0,
-П
3
2
20-10-18-17-16-15-14-13-12-11-10-9 -8 -7 -6 -$4-3-2-1
-1
-2
-3
4-
-5+
The curve above is the graph of a sinusoidal function. It goes through the points (-8, -4) and (6,-4).
Find a sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your
answer, otherwise use at least 3 decimal digits.
f(x) =
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● Question 1
4+
3.
2
1
13 /12-11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4
-1
-2
-3
-4-
5
2
6
The curve above is the graph of a sinusoidal function. It goes through the points (-7,0) and (3,0). Find a
sinusoidal function that matches the given graph. If needed, you can enter π=3.1416... as 'pi' in your
answer, otherwise use at least 3 decimal digits.
f(x) =
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Differential Equations: An Introduction to Modern Methods and Applications
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