(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. d'y 1. + 4y = 0 lz² 2zy 1²-2y² dy - 14/+49y=0 4xy + 21x²y = 21x² 2. 3. 5. d'y lz² 在 A. y = A cos(2x) + B sin(2x) B.y = Ce-72³ +1 C. y = Ae²z² D. 3yx22y³ = C E. y = Ae-7² + Bre-7²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(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.
d'y
1. + 4y
dz²
E. y Ae
=
2.
3.
4.
5.
d'y
-7z
-2xy
1²-2y2
dy
+ 14 dr
=
0
A. y = A cos(2x) + B sin(2x)
B.y = Ce-72³ +1
C. y = Ae²r²
D. 3yx22y³ C
=
= 4xy
+21x²y = 21x²
+49y
+ Bxe 7z
=
0
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. d'y 1. + 4y dz² E. y Ae = 2. 3. 4. 5. d'y -7z -2xy 1²-2y2 dy + 14 dr = 0 A. y = A cos(2x) + B sin(2x) B.y = Ce-72³ +1 C. y = Ae²r² D. 3yx22y³ C = = 4xy +21x²y = 21x² +49y + Bxe 7z = 0
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