"+2y(y)² = 0 =1^²)={1^²/ LV=X+C₂ y(x) = c₂e¹1* - 1 . (C₂-y)² + x² = C₁ :C. -In(c 2) 71
"+2y(y)² = 0 =1^²)={1^²/ LV=X+C₂ y(x) = c₂e¹1* - 1 . (C₂-y)² + x² = C₁ :C. -In(c 2) 71
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

Transcribed Image Text:Solve
y" + 2y(y)² = 0
a.
²/²v²³-G₂y=x+6₂
b. y(x) = c₂e¹1*-1
C.
(C₂-y)² + x² = C₁
d. y=C₂-In(C₁-x²)
e.
y(x) = C₂ + In(cos(2(C₁ + x)
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