y dy 1+x 4. x dx dy

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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Solve Q4 only
Solve the following differential equations:
1. y 1- dy + x Ja - y) dx = 0.
dy
+ y® +.xy² = 0.
dx
2. (x² - yx")
4. 2 dya+
* dx
2.2
3. sec x tan y dx + sec y tan x dy = 0.
5. e tan y dx + (1-e) sec y dy = 0.
dy
xe , ify = 0 when x 0.
6.
dx
Transcribed Image Text:Solve the following differential equations: 1. y 1- dy + x Ja - y) dx = 0. dy + y® +.xy² = 0. dx 2. (x² - yx") 4. 2 dya+ * dx 2.2 3. sec x tan y dx + sec y tan x dy = 0. 5. e tan y dx + (1-e) sec y dy = 0. dy xe , ify = 0 when x 0. 6. dx
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