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2. (yexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2

2. (yexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2

Advanced Engineering Mathematics
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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Exact Equations Part 2- no.2
I. II. ERS EXACT EQUATIONS Obtain the general solution of the following differential equations 1. (1+ y²)dx + (x²y + y)dy = 0 2. w³ + wz²z)dw + (z³ + w²z − w)dz = 0 - 3. (sin0-2rcos²0) dr + rcos0 (2rsin0 + 1)dr = 0 4. x(3xy - 4y³ + 6)dx + (x³ − 6x²y²-1)dy = 0 5. (2x-3y)dx + (2y - 3x)dy = 0 Solve the initial value problem non 1. (3+ y + 2y²sin²x) dx + (x + 2xy- 4, y = 1 2. (vexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2 - 0; when x =
Transcribed Image Text:I. II. ERS EXACT EQUATIONS Obtain the general solution of the following differential equations 1. (1+ y²)dx + (x²y + y)dy = 0 2. w³ + wz²z)dw + (z³ + w²z − w)dz = 0 - 3. (sin0-2rcos²0) dr + rcos0 (2rsin0 + 1)dr = 0 4. x(3xy - 4y³ + 6)dx + (x³ − 6x²y²-1)dy = 0 5. (2x-3y)dx + (2y - 3x)dy = 0 Solve the initial value problem non 1. (3+ y + 2y²sin²x) dx + (x + 2xy- 4, y = 1 2. (vexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0; when y(0) = 2 - 0; when x =
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