6. sx – 2xy)y' = yly + sinx] ;when x = 0, y = 1 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer 6
I.
SOLVE the following DIFFERENTIAL EQUATIONS.
1. cos'x sin x dy + (y cos³x – 1) dx = 0
2. xy' =2xex - y + 6x2
3. (x+1)dy = (2xe* - xy - 2y)dx
4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e
5. y dy = x(1 + x2)-1/2(1 + y2)/2 dx
6. (
+ cosx
-2xy) y' yly + sinx] ;when x = 0, y = 1
Transcribed Image Text:I. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos³x – 1) dx = 0 2. xy' =2xex - y + 6x2 3. (x+1)dy = (2xe* - xy - 2y)dx 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e 5. y dy = x(1 + x2)-1/2(1 + y2)/2 dx 6. ( + cosx -2xy) y' yly + sinx] ;when x = 0, y = 1
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