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Mathematics 238 review problems
due Thursday September 30, 2010
please show relevant work to get full credit for each problem
1
. Find a continuous solution to each initial value problem
(
a
)
dy
dt
= 8 sin 2
t
and
y
(0) = 3
(
b
)
dy
dt
=
±
2
t
if
t <
0
sin 2
t
if
t
≥
0
and
y
(

1) = 5
2
. The function
y
(
t
) =
e

2
t
cos 3
t
is a solution to which diﬀerential equation:
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Unformatted text preview: ( a ) y 00 + 9 y = 0 or ( b ) y 00 + 4 y + 13 y = 0 3 . True or False: If dy dt = y then y = y 2 2 + C 4 . Calculate the derivative of ( a ) F ( x ) = Z x 2 cos t 2 dt ( b ) G ( x ) = e4 x Z x 2 cos t 2 dt 5 . Calculate the value of Z ∞ (2 x +3) e4 x dx...
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This note was uploaded on 11/01/2010 for the course ENGINEERIN PHYS222 taught by Professor Ewqfqw during the Spring '09 term at University of Washington.
 Spring '09
 EWQFQW

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