Mathematics · Differential Equations
A particle undergoes forced vibrations according to the differential equation d 2 x/dt 2 + 25x = 21 sin(t). If the particle starts from rest at t = 0, find the displacement x(t) at any time t > 0.
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(7 sin(t)) / 9
- 2(3 cos(t)) / 8
- 3(7 sin(t)) / 8✓
- 4(21 cos(t)) / 25
Correct answer
(7 sin(t)) / 8
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