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Find the particular solution of the given differential equations. Show your complete solution. Box your final answer. 1. (1 + y? + xy2)dx + (x?y + y + 2xy)dy 0 when x = 1; y = 1

Find the particular solution of the given differential equations. Show your complete solution. Box your final answer. 1. (1 + y? + xy2)dx + (x?y + y + 2xy)dy 0 when x = 1; y = 1

Calculus: Early Transcendentals
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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Find the particular solution of the given differential equations. Show your complete solution. Box your final answer. 1. (1+ y? + xy²)dx + (x?y + y + 2xy)dy = 0 when x = 1; y = 1 %3D 2. (x² + 2xy – 4y²)dx - (x2 - 8xy - 4y²)dy = 0 when x = 1; y = 1 | 3. (xy + x)dx = (x²y2 + x2 + y² + 1)dy when x = 0; y = 0 %3D 4. [cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 5.x2 (y+ 1)dx + y²(x – 1)dy = 0 when x = 2; y = 0 6. (x - y)dx + (3x + y)dy = 0 when x 1; y = 0 %3D
Transcribed Image Text:Find the particular solution of the given differential equations. Show your complete solution. Box your final answer. 1. (1+ y? + xy²)dx + (x?y + y + 2xy)dy = 0 when x = 1; y = 1 %3D 2. (x² + 2xy – 4y²)dx - (x2 - 8xy - 4y²)dy = 0 when x = 1; y = 1 | 3. (xy + x)dx = (x²y2 + x2 + y² + 1)dy when x = 0; y = 0 %3D 4. [cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 5.x2 (y+ 1)dx + y²(x – 1)dy = 0 when x = 2; y = 0 6. (x - y)dx + (3x + y)dy = 0 when x 1; y = 0 %3D
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