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1. (1 + y² + xy²)dx + (x²y + y + 2xy)dy = 0 when x = 1; y = 1

1. (1 + y² + xy²)dx + (x²y + 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 + (x²y + 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 - %3D 3. (xy + x)dx = (x²y² + x² + y² + 1)dy when x = 0; y = 0 4. [cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D 5.x2(y + 1)dx + y?(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:1. (1+ y? + xy²)dx + (x²y + 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 - %3D 3. (xy + x)dx = (x²y² + x² + y² + 1)dy when x = 0; y = 0 4. [cos(2y) – 3x?y²]dx + [cos(2y) – 2x sin(2y) – 2x³y]dy = 0 when x = 0; y = 0 %3D 5.x2(y + 1)dx + y?(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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