1. 2. (2y³ +42) dx = (62-2xy²) dy 1 yy" + (y)² = yy' y(0) = 1, y'(0) : 11 2

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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Question

Get the general o particular solution of the following differential equations.

1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
DIFFERENTIAL EQUATION
(2y³ + 4) dx = (6-2xy²) dy
1
yy" + (y')² = yy' y(0) = 1, y'(0) = 2/
(√x² + y² =²) dx + ²√x² + y² − 1)
-
dy
= 0
dx
-
dy
3².
dy
dx
2x = (3y + x).
+ 2xy = sin y,x(n) = 1
dx -2xcsc 2y - 2x³ cos 2y
dy
sec 2y
(y³ - 3y + 2)√√9+x²dx + x²dy = 0
(x²-1)y" + 2y' − (x − 1)(x + 1)² = 0
2ss" + (s')² = 0
2ste tds +(s²e-t - t)dt = 0
Transcribed Image Text:1. 2. 3. 4. 5. 6. 7. 8. 9. 10. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy 1 yy" + (y')² = yy' y(0) = 1, y'(0) = 2/ (√x² + y² =²) dx + ²√x² + y² − 1) - dy = 0 dx - dy 3². dy dx 2x = (3y + x). + 2xy = sin y,x(n) = 1 dx -2xcsc 2y - 2x³ cos 2y dy sec 2y (y³ - 3y + 2)√√9+x²dx + x²dy = 0 (x²-1)y" + 2y' − (x − 1)(x + 1)² = 0 2ss" + (s')² = 0 2ste tds +(s²e-t - t)dt = 0
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