D. In each of Problems 12 through 15, eliminate the arbitrary constant using the methe you're comfortable with. 12. y = 3AX3 + 2BX2 + 4Cx- D 13. x²y + x*y5 = C 14. y = -2C,e-3x + Cze** 15. y = C,e-3x - 2C2º¬3*
D. In each of Problems 12 through 15, eliminate the arbitrary constant using the methe you're comfortable with. 12. y = 3AX3 + 2BX2 + 4Cx- D 13. x²y + x*y5 = C 14. y = -2C,e-3x + Cze** 15. y = C,e-3x - 2C2º¬3*
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...
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Question
eliminate the arbitrary constant :? = ?1? −3? − 2?2? −3?
![DITO VOLTE
167
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0( (59 14, 3:29
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+ Activity 1.pdf
Activity 1.
A. In each of Problems 1 through 4, determine the order and the degree of the given
differential equation; also state whether the equation is linear or nonlinear.
1. t
+ t
+ 2y = sint
2. (1+ v?)d'y
+ y = et
dt
3. + ar
+
dt2
d²y
+ y = 1
dt
dt
4.
dt
d²y
z + sin(t + y) = sin t
B. In each of Problems 5 through 9, verify that each given function is a solution of the
differential equation.
5. y" – y = 0; y(t) = et
6. y" + 2y' – 3y = 0; y(t) = e-3t
7. ty' – y = t2; y = 3t + t2
8. y" + 4y" + 3y = t; y(t) = =
9. t'y" + 5ty' + 4y = 0; y(t) = t-2
C. In each of Problems 10 through 11, determine the values of r for which the given
differential equation has solutions of the form y = et.
10. y" + y' – 6y = 0
11. y" – 3y" + 2y' = 0
D. In each of Problems 12 through 15, eliminate the arbitrary constant using the methe
you're comfortable with.
12. y = 3AX3 + 2BX² + 4Cx - D
13. x?y³ + x³y5 = C
14. y = -2C,e-3* + Cze*x
15. y = C,e-3x – 2C2e-3*
d for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any
nic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly
IWERSITY](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4c575db-e185-469b-8cde-c9a1a62092f7%2Facc0b774-a1ef-4b9d-ade7-a416688a3f9f%2Fr82wlf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DITO VOLTE
167
ll *
B/s
0( (59 14, 3:29
No service
+ Activity 1.pdf
Activity 1.
A. In each of Problems 1 through 4, determine the order and the degree of the given
differential equation; also state whether the equation is linear or nonlinear.
1. t
+ t
+ 2y = sint
2. (1+ v?)d'y
+ y = et
dt
3. + ar
+
dt2
d²y
+ y = 1
dt
dt
4.
dt
d²y
z + sin(t + y) = sin t
B. In each of Problems 5 through 9, verify that each given function is a solution of the
differential equation.
5. y" – y = 0; y(t) = et
6. y" + 2y' – 3y = 0; y(t) = e-3t
7. ty' – y = t2; y = 3t + t2
8. y" + 4y" + 3y = t; y(t) = =
9. t'y" + 5ty' + 4y = 0; y(t) = t-2
C. In each of Problems 10 through 11, determine the values of r for which the given
differential equation has solutions of the form y = et.
10. y" + y' – 6y = 0
11. y" – 3y" + 2y' = 0
D. In each of Problems 12 through 15, eliminate the arbitrary constant using the methe
you're comfortable with.
12. y = 3AX3 + 2BX² + 4Cx - D
13. x?y³ + x³y5 = C
14. y = -2C,e-3* + Cze*x
15. y = C,e-3x – 2C2e-3*
d for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any
nic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly
IWERSITY
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