Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
DIFFERENTIAL EQUATION
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 (written below)
CORRECTION IN #3:
3. Verify if y=2x-3 is a solution to y'-y-3 = -2x+5.
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e7908cf-7b52-401a-b51f-790b4ac28311%2F6fadf787-41a5-4e8b-9ea7-8d54542a8ad4%2Fbgjuxz_processed.jpeg&w=3840&q=75)
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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