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Solve the problem of resonance damped vibration of a spring .If the governing D.E is given by \(m \frac{d^2 y}{dt^2} + c

Posted: Thu Jul 14, 2022 9:29 am
by answerhappygod
a) y = e-λt (y0 cos⁡vt + y1 sin⁡vt)
b) y = e^(- λt) (y0 cos⁡vt+\(\left(\frac{y_1+ λy_0}{v}\right)\) sin⁡vt)
c) y = e^(- λt) (\(\left(\frac{y_1+ λy_0}{v}\right)\) cos⁡vt + y0 sin⁡vt)
d) y = e-λt (y0 cos⁡vt+λy1 sin⁡vt)