(x – y)dx + xdy = 0.

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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Question

Find the general solution for homogeneous equations

(x – y)dx + xdy = 0.
(x – 2y)dx + xdy= 0.
(x² – y²)dx + 2xydy = 0.
Væ² + y²dx = xdy – ydx.
(2²y + 2xy² – y³)dæ – (2y³ – xy? + x³)dy = 0.
(z sin - y cos
s ² ) dæ + x cos 2dy = 0.
:0.
y cos
%3D
(4x* – a°y + y*)dx +x*dy = 0.
y²
(2² sin - 2y° cos 2)dr + 2ry cos dy :
x²
x²
Transcribed Image Text:(x – y)dx + xdy = 0. (x – 2y)dx + xdy= 0. (x² – y²)dx + 2xydy = 0. Væ² + y²dx = xdy – ydx. (2²y + 2xy² – y³)dæ – (2y³ – xy? + x³)dy = 0. (z sin - y cos s ² ) dæ + x cos 2dy = 0. :0. y cos %3D (4x* – a°y + y*)dx +x*dy = 0. y² (2² sin - 2y° cos 2)dr + 2ry cos dy : x² x²
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