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(х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³ + 3y* = c o x* + 3x²y² – 6xy = c

(х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³ + 3y* = c o x* + 3x²y² – 6xy = c

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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1. (х + 2у)dx — Зуdy%3D0 x* – 6x²y² + 8xy³ – 3y* = c 3x* – 8x²y² + 6xy³ – y* = c o x* + 3x*y? – 4xy³ + 3y* = c o x* + 3x*y? – 6xy = c - 2. y'dx + (xy - 2x*)dy = 0 o x*y? = c(y+ – x²) o r²y* = c(y? – x²) o x*y? = c(y? +x²) o x*y? = c(y* +x²)
Transcribed Image Text:1. (х + 2у)dx — Зуdy%3D0 x* – 6x²y² + 8xy³ – 3y* = c 3x* – 8x²y² + 6xy³ – y* = c o x* + 3x*y? – 4xy³ + 3y* = c o x* + 3x*y? – 6xy = c - 2. y'dx + (xy - 2x*)dy = 0 o x*y? = c(y+ – x²) o r²y* = c(y? – x²) o x*y? = c(y? +x²) o x*y? = c(y* +x²)
3. 2xydx – (3xy + 2y²)dy = 0 • (x- 2y)*(2x +y) = c • (x - y)*(x + y) = c • (x + 2y)(2x – y)* = c O (x - 2y)* = c(2x + y) 4. (2st + t)ds - 3s²dt = 0,when s = 1, t = -1 O 8st = (s - t)² o s't = (t - s)* • 8st = (t – s) o t= (t – s) 5. Zydx – (x – y)dy = 0, when x = 4, y = 4 • 1-y = V • x+y = 4/5 O x+ 4y = Vĩ O x- y = 4
Transcribed Image Text:3. 2xydx – (3xy + 2y²)dy = 0 • (x- 2y)*(2x +y) = c • (x - y)*(x + y) = c • (x + 2y)(2x – y)* = c O (x - 2y)* = c(2x + y) 4. (2st + t)ds - 3s²dt = 0,when s = 1, t = -1 O 8st = (s - t)² o s't = (t - s)* • 8st = (t – s) o t= (t – s) 5. Zydx – (x – y)dy = 0, when x = 4, y = 4 • 1-y = V • x+y = 4/5 O x+ 4y = Vĩ O x- y = 4
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