Step-by-step on each please Part I. Calculation:1. sin x siny dx + cos x cos y dy = 02. (6x + y²)dx + y(2x - 3y)dy = 03. 3y(x²-1)dx + (x³ + 8y - 3x) dy = 0; when x = 0, y = 1Find the solution of each Differential Equations.Part II. Problem Solving1 A tank contains 80 gallons (gal) of pure water A brine

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Answered: Part I. Calculation: Find the solution…

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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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