4. Exact different equations cover a large class of interesting non-linear equations that arise in modeling. Since usually we do not have a universally applicable method for solving all these differential equations. It is worth to discover as many fundamental methods as possible by using the basic techniques from Calculus. Now, you are asked to put effort into solving the following equation. (3xy + y) + (x² + xy)y' = 0 (4) (a) First determine whether (4) is exact or not.
4. Exact different equations cover a large class of interesting non-linear equations that arise in modeling. Since usually we do not have a universally applicable method for solving all these differential equations. It is worth to discover as many fundamental methods as possible by using the basic techniques from Calculus. Now, you are asked to put effort into solving the following equation. (3xy + y) + (x² + xy)y' = 0 (4) (a) First determine whether (4) is exact or not.
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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Question

Transcribed Image Text:(b)
or implicitly) by mimicking the justification on page 68, 69 (section 2.4) of your
textbook.
If not, try to “make" equation (4) to be exact and solve it (explicitly

Transcribed Image Text:4. Exact different equations cover a large class of interesting non-linear equations that arise
in modeling. Since usually we do not have a universally applicable method for solving
all these differential equations. It is worth to discover as many fundamental methods as
possible by using the basic techniques from Calculus. Now, you are asked to put effort
into solving the following equation.
(3.xy + y)+ (x² + xy)y' = 0
(4)
(a)
First determine whether (4) is exact or not.
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