GATE 2020 Metallurgical Engg: Homogeneous ODE Solution | ExamPrev

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Metallurgical Engineering > GATE 2020 > Differential Equations

The general solution to the following homogeneous ODE, d²y / dt² + 4dy / dt + 3y = 0,
is
y(t) = C₁e^λ₁t + C₂e^λ₂t.
The values of λ₁ and λ₂ are:

A

-1 and -3

B

-3 and -3

C

1 and -3

D

1 and 3

Correct : a

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