(1 point) Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary constants. You must get all of the answers correct to receive credit. d²y 1. + 25y = 0 dr? dy 2. da -2ry z? – 5y? d²y 3. + 12y + 36y = 0 dr da? dy 4. 10ry da dy + 182?y = 182? da A. y = Ae5=2 B. y = A cos(5x) + B sin(5æ) C. y = Ae-6z + Bxe-6# D. 3ya? – 5y3 = C E. y = Ce-6z' +1 5.
(1 point) Match the following differential equations with their solutions. The symbols A, B, C in the solutions stand for arbitrary constants. You must get all of the answers correct to receive credit. d²y 1. + 25y = 0 dr? dy 2. da -2ry z? – 5y? d²y 3. + 12y + 36y = 0 dr da? dy 4. 10ry da dy + 182?y = 182? da A. y = Ae5=2 B. y = A cos(5x) + B sin(5æ) C. y = Ae-6z + Bxe-6# D. 3ya? – 5y3 = C E. y = Ce-6z' +1 5.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(1 point) Match the following differential equations with their solutions.
The symbols A, B, C in the solutions stand for arbitrary constants.
You must get all of the answers correct to receive credit.
d²y
+ 25y = 0
dr?
-2ry
1.
2.
da
x² – 5y?
d²y
dy
3.
dr?
+ 12-
+ 36y = 0
dr
dy
4.
de
dy
5.
da
10гу
+ 182°y = 18z?
A. y = Ae5z?
В. у %3D А сos(5z) + Bsin(5z)
Ae-6z + Bre-6r
C. y =
D. 3ya? – 5y3 = C
E. y = Ce-6z'
+1
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