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/rde/contents/library/ps2img/cgi-bin/eqn2gif.cgi
157.118.3.12
1309740270 2011/07/04 09:44:30
eE = m\frac{dx^2}{dt^2} \\
\frac{eE(t -t_0)}{m} = v-v_0 \\
\frac{eE(t-t_0)}{m} +v_0 = dx/dt \\
\frac{eEt^2}{2m} - \frac{eEt_0^2}{2m} + (\frac{eEt_0}{m}+v_0)(t-t_0) =x-x_0 \\
\frac{eEt^2}{2m} - \frac{eEt_0^2}{2m} + \frac{(eEtt_0-eEt_0^2)}{m}+v_0(t-t_0)=x-x_0 \\
t^2 +(2t_0+\frac{2mv_0t}{eE} -3t_0^2-\frac{2mv_0t_0}{eE} = \frac{2m(x-x_0)}{eE} \\
t=-(t_0+\frac{mv_0}{eE})+\sqrt{(t_0+\frac{mv_0}{eE})^2+(3t_0^2+\frac{2mv_0t_0}{eE} +\frac{2m(x-x_0)}{eE})}
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正常に処理されました
20110704_093617
http://www.mech.tohoku-gakuin.ac.jp/rde/contents/library/ps2img/eqn2gif_online.html
Mon Jul 4 09:44:30 2011