b) Show that the following differential equation is exact. Then, find the general and particular solution of the equation for the given boundary condition. (x2 + sin y)dx + (x cos y – 2e2y)dy = 0, y(2) = 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 33CR
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b)
Show that the following differential equation is exact. Then, find the general and
particular solution of the equation for the given boundary condition.
(x2 + sin y)dx + (x cos y – 2e2y)dy = 0, y(2) = 0
Transcribed Image Text:b) Show that the following differential equation is exact. Then, find the general and particular solution of the equation for the given boundary condition. (x2 + sin y)dx + (x cos y – 2e2y)dy = 0, y(2) = 0
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