Solve the equation by the substitution u = y'. y" + (y)² +4=0 ²-Gy=x+₂ b. v(x) = c₂e1*-1 c. (C₂-y)² + x² = C₁ y=C₂-In(C₁-x²) d. e. y(x) = C₂ + In(cos(2(C₁ + x) a. O a Ob Od e
Solve the equation by the substitution u = y'. y" + (y)² +4=0 ²-Gy=x+₂ b. v(x) = c₂e1*-1 c. (C₂-y)² + x² = C₁ y=C₂-In(C₁-x²) d. e. y(x) = C₂ + In(cos(2(C₁ + x) a. O a Ob Od e
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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Transcribed Image Text:Solve the equation by the substitution u = y'.
y" + (y)² +4=0
a.
O
b. y(x) = c₂e¹¹* - 1
c. (C₂-V)² + x² = C₁
y=C₂-In(C₁-x²)
d.
e. y(x) = C₂ + In(cos(2(C₁+x)
O
b
с
Od
²³-₁V=
e
-C₁V=X+C₂
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