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solve-by-laplace-transform-method-x-w-0-2-x-coswt-x-0-x-0-x-0-v-0-w-2-w-0-2-




Question Number 67761 by ugwu Kingsley last updated on 31/Aug/19
solve by laplace transform method    x^(•• )  +w_0 ^2 x=coswt   x(0)=x_0  x^• (0)=v_0      w^2 ≠ w_0 ^2
$${solve}\:{by}\:{laplace}\:{transform}\:{method} \\ $$$$ \\ $$$$\overset{\bullet\bullet\:} {{x}}\:+{w}_{\mathrm{0}} ^{\mathrm{2}} {x}={coswt}\:\:\:{x}\left(\mathrm{0}\right)={x}_{\mathrm{0}} \:\overset{\bullet} {{x}}\left(\mathrm{0}\right)={v}_{\mathrm{0}} \:\:\:\:\:{w}^{\mathrm{2}} \neq\:{w}_{\mathrm{0}} ^{\mathrm{2}} \\ $$

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