Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
Section1.CR: Review Problem Set
Problem 67CR: A crime-scene investigator has 3.4 ounces of a sample. He needs to conduct four tests that each...
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Question
100%
Find the General and Particular solution of ??
??
= −8 sin 4? ; ? = 6 ?ℎ?? ? = 0
![ax ay a 0
y" = 12x?
y' = 4x3 + C1
y = x* + C1x+ C2 → General Solution
For the Constant, C,: when x = 0, y' = 2
2 = 4x3 + C
C = 2
For the Constant, C2: when x = 0, y = 1
1 = 0 + 2(0) + C2
C, = -1
y = x* + 2x + -1 → Particular Solution
of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any form or by any 2
electronic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly prohibited.
***
OEVALUATE
The following problems are given to assess your ability to solve for the solutions of
differential equations
Instructions: Solve for what is asked in each problem. Refer to the format and guidelines
presented in the Assignment Guide.
1. Complete the table below.
Ordinary or
Partial
Dependent
Variable
Order Degree
Linear or Non-
Linear
Independent
Variable
y' = x +6y
y" = 4y +y
(d?y\
dy
(dz) + dx
+ 3 = 0
y" +2xy' +4y =
cos2x
x²-1
dx y+4
aw
+
dy
du
= 0
ax
2. Verify that the function y = Ciex + Cex is a solution of the differential
equation y" - 3y' + 2y = 0
3. Is y(x) = Cisin2x + C2cos2x, where Ci and C2 are arbitrary constants, a solution
of y" + 4y = 0?
4. Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = 0
dx
5. Find the General and Particular solution of = 3y ; y = 3, when x = 0
dx
• For students who are on the online mode, detailed instructions are provided in your
GOOGLE CLASSROOM which will guide you in utilizing learning materials, performing
learning activities, accomplishing requirements, and formatting/ saving reports and
outputs for ONLINE submission
of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any form or by any
electronic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly prohibited.
EX](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4c575db-e185-469b-8cde-c9a1a62092f7%2Fd972d25b-fc05-4ae7-87c6-022596aa7fa4%2Ffsqrg3d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ax ay a 0
y" = 12x?
y' = 4x3 + C1
y = x* + C1x+ C2 → General Solution
For the Constant, C,: when x = 0, y' = 2
2 = 4x3 + C
C = 2
For the Constant, C2: when x = 0, y = 1
1 = 0 + 2(0) + C2
C, = -1
y = x* + 2x + -1 → Particular Solution
of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any form or by any 2
electronic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly prohibited.
***
OEVALUATE
The following problems are given to assess your ability to solve for the solutions of
differential equations
Instructions: Solve for what is asked in each problem. Refer to the format and guidelines
presented in the Assignment Guide.
1. Complete the table below.
Ordinary or
Partial
Dependent
Variable
Order Degree
Linear or Non-
Linear
Independent
Variable
y' = x +6y
y" = 4y +y
(d?y\
dy
(dz) + dx
+ 3 = 0
y" +2xy' +4y =
cos2x
x²-1
dx y+4
aw
+
dy
du
= 0
ax
2. Verify that the function y = Ciex + Cex is a solution of the differential
equation y" - 3y' + 2y = 0
3. Is y(x) = Cisin2x + C2cos2x, where Ci and C2 are arbitrary constants, a solution
of y" + 4y = 0?
4. Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = 0
dx
5. Find the General and Particular solution of = 3y ; y = 3, when x = 0
dx
• For students who are on the online mode, detailed instructions are provided in your
GOOGLE CLASSROOM which will guide you in utilizing learning materials, performing
learning activities, accomplishing requirements, and formatting/ saving reports and
outputs for ONLINE submission
of and for the exclusive use of SLU. Reproduction, storing in a retrieval system, distributing, uploading or posting online, or transmitting in any form or by any
electronic, mechanical, photocopying, recording, or otherwise of any part of this document, without the prior written permission of SLU, is strictly prohibited.
EX
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