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2Â¥2016-06-14 16:45:04
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Áîu=dH/dt £¬ Ôòd^2H/dt^2=du/dt=du/dH*dH/dt=u*du/dH
u*du/dH=A/H^3*u
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du=A*dH/H^3= -A/2*d(1/H^2)
u=C1-A/2*1/H^2
ÒòΪt=0ʱH=H0¡¢u=0£¬¹ÊC1=A/2*1/H0^2
u=dH/dt=A/2*[1/H0^2-1/H^2]
H-H0/2*Ln[(H0+H)/(H0-H)]=C2+A*t/(2*H0^2)
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3Â¥2016-06-14 21:26:43
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goodstirling: ½ð±Ò+15, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2016-06-15 21:15:38
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2Â¥: Originally posted by ¹þ¹þЦÄà at 2016-06-14 16:45:04
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Áîu=dH/dt Ôòd^2H/dt^2=du/dt=du/dH*dH/dt=u*du/dH
´úÈëÔ­·½³Ì£ºu*du/dH=A/H^3*u
u*[du/dH-A/H^3]=0
Èôu=0 ,ÔòH=H0
Èôu²»µÈÓÚÁ㣬Ôò£ºdu/dH-A/H^3=0, du=A*dH/H^3=-A/2*d(1/H^2)
u=dH/dt=C1-A/2*1/H^2 ¡£½«t=0ʱH=H0¡¢u=0´úÈëµÃC1=A/2*1/H0^2
dH/dt=A/2*[1/H0^2-1/H^2]
H+H0/2*Ln{ABS[(H-H0)/(H+H0)]}=C2+A*t/(2*H0^2)
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4Â¥2016-06-14 22:04:54
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