Let z(t) be the solution of the initial value problem d²z/dt² = bz, z(0) = 0,…
GATE · 2020 · XE · XE-A — Engineering Mathematics
Let z(t) be the solution of the initial value problem d²z/dt² = bz, z(0) = 0, dz/dt(0) = 1 for t ≥ 0. If the planar curve parameterized by t having x-coordinate z(t) and y-coordinate dz/dt is closed, then necessarily
- A.
b > 0.
- B.
b < 0.
- C.
b = 0.
- D.
b is a non-zero rational number.
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