y' + y² = 1 + x², y₁(x) = = X

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 Riccati's equation, using the known solution ?1 given
y' + y² = 1 + x², y₁(x) = x
y' + 2xy = 1 + x² + y², y₁(x) = x
y' = (y — sen(x))² + y ctg(x), y₁ = sen(x)
Transcribed Image Text:y' + y² = 1 + x², y₁(x) = x y' + 2xy = 1 + x² + y², y₁(x) = x y' = (y — sen(x))² + y ctg(x), y₁ = sen(x)
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