Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = c₁e-5x + c₂e-2x Oy" - 5y' - 2y = 0 Oy" - 5y' + 2y = 0 Oy" + 7y' + 10y = 0 Oy" - 7y' +10y = 0 Oy" - 7y' 10y = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a homogeneous linear differential equation with constant coefficients whose general solution is given.
y = c₁e-5x + c₂e-2x
Oy" - 5y'
2y = 0
Oy" - 5y' + 2y = 0
Oy" + 7y' + 10y = 0
Oy" 7y' + 10y = 0
Oy" - 7y' 10y = 0
-
Transcribed Image Text:Find a homogeneous linear differential equation with constant coefficients whose general solution is given. y = c₁e-5x + c₂e-2x Oy" - 5y' 2y = 0 Oy" - 5y' + 2y = 0 Oy" + 7y' + 10y = 0 Oy" 7y' + 10y = 0 Oy" - 7y' 10y = 0 -
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