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15. ( dx +x'y = 0 15. xy 1+9x/ dy 16. (5y – 2x)y' – 2y = 0 17. (tan x - sin x sin y) dr+ cos x cos v dy = 0 18. (2y sin x cos x- y + 2yPe) dx = (x – sin²x – 4xye) dy %3D 19. (4r'y 15r² - y) dt + (r + 3y2-1) dy 0 %3D 20. dt + 2 + y2 dy = 0 ve +

15. ( dx +x'y = 0 15. xy 1+9x/ dy 16. (5y – 2x)y' – 2y = 0 17. (tan x - sin x sin y) dr+ cos x cos v dy = 0 18. (2y sin x cos x- y + 2yPe) dx = (x – sin²x – 4xye) dy %3D 19. (4r'y 15r² - y) dt + (r + 3y2-1) dy 0 %3D 20. dt + 2 + y2 dy = 0 ve +

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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1s. (y- - dr 1+9x/ dy + x'y = 0 16. (5y – 2x)y' – 2y = 0 17. (tan x- sin x sin y) dx + cos x cos y dy 18. (2y sin x cos x – y + 2y²ety") dx (r sinx - 4xye") dy 19. (4r'y - 15r² - y) dt + (r + 3y2-t) dy 0 20. dt + ve+ dy = 0 2.4 EXACT EQUATIONS 69 (b) Show that the initial conditions y(0)=-2 and v(1)= I determine the same implicit solution. (c) Find explicit solutions vCr) and v-(x) of the dif-
Transcribed Image Text:1s. (y- - dr 1+9x/ dy + x'y = 0 16. (5y – 2x)y' – 2y = 0 17. (tan x- sin x sin y) dx + cos x cos y dy 18. (2y sin x cos x – y + 2y²ety") dx (r sinx - 4xye") dy 19. (4r'y - 15r² - y) dt + (r + 3y2-t) dy 0 20. dt + ve+ dy = 0 2.4 EXACT EQUATIONS 69 (b) Show that the initial conditions y(0)=-2 and v(1)= I determine the same implicit solution. (c) Find explicit solutions vCr) and v-(x) of the dif-
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