Part I. Calculation: Find the solution of each Differential Equations. 1. sin x siny dx + cos x cos y dy = 0 2. (6x + y²)dx + y(2x − 3y)dy = 0 - 3. 3y(x²-1)dx + (x³ + 8y-3x)dy = 0; when x = 0, y = 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Step-by-step on each please
Part I. Calculation:
1. sin x siny dx + cos x cos y dy = 0
2. (6x + y²)dx + y(2x - 3y)dy = 0
3. 3y(x²-1)dx + (x³ + 8y - 3x) dy = 0; when x = 0, y = 1
Find the solution of each Differential Equations.
Part II. Problem Solving
1 A tank contains 80 gallons (gal) of pure water A brine
Transcribed Image Text:Part I. Calculation: 1. sin x siny dx + cos x cos y dy = 0 2. (6x + y²)dx + y(2x - 3y)dy = 0 3. 3y(x²-1)dx + (x³ + 8y - 3x) dy = 0; when x = 0, y = 1 Find the solution of each Differential Equations. Part II. Problem Solving 1 A tank contains 80 gallons (gal) of pure water A brine
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