Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution. .2 1. 2xy dx + x dy = 0 2. x°dx + y°dy = 0 3 3. sin x cos y dx + cos x sin y dy = 0
Test for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. Also, if an initial condition is given, find the corresponding particular solution. .2 1. 2xy dx + x dy = 0 2. x°dx + y°dy = 0 3 3. sin x cos y dx + cos x sin y dy = 0
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 8CR
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![Test for exactness. If exact, solve. If not, use an integrating
factor as given or obtained by inspection or by the theorems
in the text. Also, if an initial condition is given, find the
corresponding particular solution.
1. 2xy dx + x dy = 0
2. x°dx + y°dy = 0
.2
3. sin x cos y dx + cos x sin y dy = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3429cbb1-f3ae-4694-8e40-4fa845d839b7%2F8a5e9ae4-ea0a-4c57-aa14-08c666c98828%2Fib4681m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Test for exactness. If exact, solve. If not, use an integrating
factor as given or obtained by inspection or by the theorems
in the text. Also, if an initial condition is given, find the
corresponding particular solution.
1. 2xy dx + x dy = 0
2. x°dx + y°dy = 0
.2
3. sin x cos y dx + cos x sin y dy = 0
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