. Solve the following Ricatti equations: 2 y - y² = -x², given that y₁ = x² is a particular dy dx solution.

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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Question
17.
18.
19.
21.
Solve the following Ricatti equations:
2.
y² = -x², given that yı
y − 3y² =
x²,
given
that
dy
dx
dx
dy
-
3
dy+-2², given that y₁ =
dx
=
- 4y - y² = 4
y₁= x² is a particular solution.
+ (cot x) y − y² = −csc² x.
-
113
is a particular solution.
20. dy = 7 - 6y-y²
бу
dx
Transcribed Image Text:17. 18. 19. 21. Solve the following Ricatti equations: 2. y² = -x², given that yı y − 3y² = x², given that dy dx dx dy - 3 dy+-2², given that y₁ = dx = - 4y - y² = 4 y₁= x² is a particular solution. + (cot x) y − y² = −csc² x. - 113 is a particular solution. 20. dy = 7 - 6y-y² бу dx
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