Choose the CORRECT statements for the differential equation: y" -8y' + 16y = 0. I. The characteristic equation is m² + 8m + 16 = 0. II. The characteristic equation has real and equal roots. III. The equation is homogeneous second order differential equation. IV. The equation is linear and non-homogeneous. I and III II and III O I and IV I and II

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Choose the CORRECT statements for the differential equation:
y" -8y' + 16y = 0.
I. The characteristic equation is m² + 8m + 16 = 0.
II. The characteristic equation has real and equal roots.
III. The equation is homogeneous second order differential equation.
IV. The equation is linear and non-homogeneous.
I and III
O II and III
OI and IV
I and II
Transcribed Image Text:Choose the CORRECT statements for the differential equation: y" -8y' + 16y = 0. I. The characteristic equation is m² + 8m + 16 = 0. II. The characteristic equation has real and equal roots. III. The equation is homogeneous second order differential equation. IV. The equation is linear and non-homogeneous. I and III O II and III OI and IV I and II
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