Verify the Solutions to the ff. Differential Equations. Write your solution and conclusion completely. 1. Verify if y = xe" is a solution of y" 2y + y = 0 2. Verify if y=x* is a solution of 3. Verify if y=e* is a solution to y" + 2y' - 15 = 0 4. Verify if y=2x-3y=2x-3 is a solution to y'-y-3--2x+5y'-y-3--2x+5. 5. Verify if y=5x+5y=5x+5 is a solution to y'+y+5=5x+15y'+y+5=5x+15. Determine the Classification of these functions in terms of order, type, and linearity. Present your answers with this format, Example: 1. 1" order, ODE, Linear
Verify the Solutions to the ff. Differential Equations. Write your solution and conclusion completely. 1. Verify if y = xe" is a solution of y" 2y + y = 0 2. Verify if y=x* is a solution of 3. Verify if y=e* is a solution to y" + 2y' - 15 = 0 4. Verify if y=2x-3y=2x-3 is a solution to y'-y-3--2x+5y'-y-3--2x+5. 5. Verify if y=5x+5y=5x+5 is a solution to y'+y+5=5x+15y'+y+5=5x+15. Determine the Classification of these functions in terms of order, type, and linearity. Present your answers with this format, Example: 1. 1" order, ODE, Linear
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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UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS IN THE SAME FORMAT GIVEN BELOW. NO LONG EXPLANATION NEEDED. DO NOT FORGET TO CLASSIFY ITS ORDER, TYPE, & LINEARITY.
ANSWER #3 ONLY
Transcribed Image Text:Verify the Solutions to the ff. Differential Equations. Write your solution and
conclusion completely.
1. Verify if y = xe* is a solution of y" 2y + y = 0
2. Verify if y=x* is a solution of
3. Verify if y = ex is a solution to y" + 2y' - 15 = 0
4. Verify if y=2x-3y=2x-3 is a solution to y'-y-3--2x+5y'-y-3--2x+5.
5. Verify if y=5x+5y=5x+5 is a solution to y'+y+5=5x+15y'+y+5=5x+15.
Determine the Classification of these functions in terms of order, type, and
linearity. Present your answers with this format, Example:
1. 1st order, ODE, Linear
du
Ət
dy
dz
+k²y=0
dr²
(x² + y²) dx - 2xy dy = 0
h²
E) *
d'y
dy2
di
+R
dt2 dt
PV 8²V av
+ +
dx² dy² 8:2
dw
dr2
d³r dr
dy³
dy
+7
cos
Or²
1
+ +=Ew sin wt
dy
dr
+
dw
ry- +w=0
dr
+y
dy²
მ2
-
d'y d'a
+
dt2
af of
ду
=0
- 4ry=0
-8y=0
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