NAME: MAT 052: DIFFERENTIAL EQUATIONS SECTION: PROBLEM SET No.3 Instruction: Perform the given tasks. To be able to satisfy completely the requirements, show the working formulas and process for detailing. NO TO SHORTCUTS. BOXED your final answer. WRITE LEGIBLY, NEATLY, and CLEARLY. For uploading of outputs, please have a clear picture of it and POSTS them in an UPRIGHT POSITION. Thank you and God bless. Find the solution of the given Bernoulli Differential Equation (BDE). 1. x³dy – y²dx = 2xy 2. бу — ху* %—D 2y 3. xdx – y3dy = xy-²dx - [Hint: To be able to earn full credit in solving the given BDE, show the key steps to determine the following: a. Standard form of Bernoulli DE. [Indicate the guide formula, either equation (1) or (1.a), that is achieved. Refer to SAS #10 page 2. Also, recall our previous discussion] b. п С. Z d. Function P e. Function Q f. Reduced Function P g. Reduced Function Q h. Integrating Factor i. General solution
NAME: MAT 052: DIFFERENTIAL EQUATIONS SECTION: PROBLEM SET No.3 Instruction: Perform the given tasks. To be able to satisfy completely the requirements, show the working formulas and process for detailing. NO TO SHORTCUTS. BOXED your final answer. WRITE LEGIBLY, NEATLY, and CLEARLY. For uploading of outputs, please have a clear picture of it and POSTS them in an UPRIGHT POSITION. Thank you and God bless. Find the solution of the given Bernoulli Differential Equation (BDE). 1. x³dy – y²dx = 2xy 2. бу — ху* %—D 2y 3. xdx – y3dy = xy-²dx - [Hint: To be able to earn full credit in solving the given BDE, show the key steps to determine the following: a. Standard form of Bernoulli DE. [Indicate the guide formula, either equation (1) or (1.a), that is achieved. Refer to SAS #10 page 2. Also, recall our previous discussion] b. п С. Z d. Function P e. Function Q f. Reduced Function P g. Reduced Function Q h. Integrating Factor i. General solution
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![4G. 4G*
l i 9:53
2.90 4G
80
KB/s
f 05... /
PS3_MAT
NAME:
MAT 052: DIFFERENTIAL EQUATIONS
SECTION:
PROBLEM SET No.3
Instruction: Perform the given tasks. To be able to satisfy completely the requirements, show the working
formulas and process for detailing. NO TO SHORTCUTS. BOXED your final answer. WRITE LEGIBLY,
NEATLY, and CLEARLY.
For uploading of outputs, please have a clear picture of it and POSTS them in an UPRIGHT POSITION.
Thank you and God bless.
Find the solution of the given Bernoulli Differential Equation (BDE).
1. х3 dy — у?dx %3D2ху
2. бу' — ху* %3D 2у
3. хӑх — у Зdy %3D ху ?ӑх
[Hint: To be able to earn full credit in solving the given BDE, show the key steps to determine the
following:
a. Standard form of Bernoulli DE. [Indicate the guide formula, either equation (1) or (1.a), that
is achieved. Refer to SAS #10 page 2. Also, recall our previous discussion]
b. п
C.
d. Function P
Function Q
Reduced Function P
е.
f.
g.
Reduced Function Q
h. Integrating Factor
i.
General solution
ddrosario 012021](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd21d8926-6a84-44d0-bf37-ff5ae0e9e1c2%2F5cf8ebc5-e2be-47c1-9695-79d45b20cc48%2Fdr928qo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4G. 4G*
l i 9:53
2.90 4G
80
KB/s
f 05... /
PS3_MAT
NAME:
MAT 052: DIFFERENTIAL EQUATIONS
SECTION:
PROBLEM SET No.3
Instruction: Perform the given tasks. To be able to satisfy completely the requirements, show the working
formulas and process for detailing. NO TO SHORTCUTS. BOXED your final answer. WRITE LEGIBLY,
NEATLY, and CLEARLY.
For uploading of outputs, please have a clear picture of it and POSTS them in an UPRIGHT POSITION.
Thank you and God bless.
Find the solution of the given Bernoulli Differential Equation (BDE).
1. х3 dy — у?dx %3D2ху
2. бу' — ху* %3D 2у
3. хӑх — у Зdy %3D ху ?ӑх
[Hint: To be able to earn full credit in solving the given BDE, show the key steps to determine the
following:
a. Standard form of Bernoulli DE. [Indicate the guide formula, either equation (1) or (1.a), that
is achieved. Refer to SAS #10 page 2. Also, recall our previous discussion]
b. п
C.
d. Function P
Function Q
Reduced Function P
е.
f.
g.
Reduced Function Q
h. Integrating Factor
i.
General solution
ddrosario 012021
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