Let (2x In (y) + u(x)) dx + v() ) dy = 0, + v(y where u(x) and V(y) are differentiable for all X and y, respectively. Show that the differential equation is exact and solve it.
Let (2x In (y) + u(x)) dx + v() ) dy = 0, + v(y where u(x) and V(y) are differentiable for all X and y, respectively. Show that the differential equation is exact and solve it.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Let
x²
+ v(y) ) dy = 0,
y
(2x In (y) + u(x)) dx +
where u(x) and v(y)
Show that the differential equation is exact and solve it.
are differentiable for all X and y, respectively.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14bae8db-3d58-48f4-a8f3-8edcfe251333%2Fd0ae5b75-5b0b-437c-ba28-9920f23a9e00%2Fgz0xktd_processed.png&w=3840&q=75)
Transcribed Image Text:Let
x²
+ v(y) ) dy = 0,
y
(2x In (y) + u(x)) dx +
where u(x) and v(y)
Show that the differential equation is exact and solve it.
are differentiable for all X and y, respectively.
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