**Unformatted text preview: **l. (1 point) Match each differential equation to a function which is a solution.
FUNCTIONS A. y = 3x +x2, B. y 2 2‘3“, C. y = sinﬁx}, D. 3: =x %, E- y = Sﬂptﬁx).
DIFFERENTIAL EQUATIONS _4. }"+12y'+32y=ﬂ
Answer-(s) submitted:
0 E
0 A 0D
OB {correct} 2. (1 point) Match the following differential equations with
their solutions.
The symbols A. B, C in the solutions stand for arbitrary.r con-
stants.
You must get all ofthe answers correct to receive credit. _1. :35——25y=o
_2. % = 3:32;}!
3.f7g——14§§+49y=o
_4. g; = lﬂxy
_5. £+21x3y=2112
A. y=Ae_7‘+Exe_7‘
B. y=Acos(5x)+Bsin|[5x}
c. }=Ce‘7‘3+l
o. y=Ae59
E. 331—5? =C
Answer-(x) submitted:
0 B
o E
o it. DC (correct) 1 (113mm)
Let}? 231'. Find all values of r such that y = r11 satisﬁes the differen-
tial equation. If there is more than one correct answer, enter
your answers as a comma separated list. r = — help (numbers)
Answerfsj Wreck
I BIZ
(correct) 4. (1poim1Lety"+y’—ey=o. Find all values of r such that y = e" satisﬁes the differential equation. If there is more than one correct answer, enter your
answers as a comma separated list. r = — help {numbers}
Answer-{s} submitteri' o 2,—3 (correct) 5. (I point} Suppose that a fourth order differential equation
has a solution 3' = —5€5‘xsin{x). Find the initial conditions that
this solution satisﬁes. rtﬂl =
:r’tﬂl =
I"tﬂl = amt-3‘} =
Amer”) submitted' o I] o I]
I —l[l
o —15|J (correct) ...

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- Fall '16