Solve the initial value problem: dy 2xy ) = y (y + sin æ); у (0) — 1 + cos x 1+y? dr

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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urgent need in 5-10 mins please :<

Solve the initial value problem:
dy
+ cos x
2xy) = y (y + sin x);
у (0) — 1
%3D
1+y?
da
xy + y cos x
arctan y
-1
4
-
O
xy – y cos
arctan y = 1 -
4
O xy – y cos x + arctan y
-1+
O xy + y cos x + arctany= 1+ ÷
4
O xy – y cos x
arctan y
-1
-
|
4
O xy + y cos x
arctan y = 1
4
Transcribed Image Text:Solve the initial value problem: dy + cos x 2xy) = y (y + sin x); у (0) — 1 %3D 1+y? da xy + y cos x arctan y -1 4 - O xy – y cos arctan y = 1 - 4 O xy – y cos x + arctan y -1+ O xy + y cos x + arctany= 1+ ÷ 4 O xy – y cos x arctan y -1 - | 4 O xy + y cos x arctan y = 1 4
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