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f=f(x), g=g(x)

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k^2 f''' - f'^3 - af'g'^2=0,                (1)

k^2 g''' - bg'^3 - a f'^2g'=0,            (2)

ÎÒÊÔ×ÅÓÃa=b, f=gʱ£¬Çó³öf=g=2k/sqrt(2+a) ln (x),


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[ Last edited by laizuliang on 2007-10-25 at 12:16 ]
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xyy'+y^2=1/k^2(x^2+c)
4Â¥2007-10-25 15:44:10
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ÎÒѧµÃÒ²²»ºÃ£¬Â¥Ö÷ÊÔÊÔÓÃf(x)=A*exp(x)+B*exp(-x),g(x)=C*exp(x)+D*exp(-x)¡£

[ Last edited by Î÷ÄÎ on 2007-10-25 at 14:09 ]
2Â¥2007-10-25 14:06:50
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f=a*exp(x)+b*exp(-x),g=c*exp(x)+d*exp(-x)

eq1=(-a^3-rho*a*c^2)*exp(x)^3+(3*a^2*b+k^2*a+rho*b*c^2+2*rho*a*c*d)*exp(x)+(-3*a*b^2-2*rho*b*c*d-rho*a*d^2-k^2*b)/exp(x)+(b^3+rho*b*d^2)/exp(x)^3

eq2=(-eta*c^3-rho*a^2*c)*exp(x)^3+(k^2*c+3*eta*c^2*d+2*rho*a*b*c+rho*a^2*d)*exp(x)+(-3*eta*c*d^2-rho*b^2*c-k^2*d-2*rho*a*b*d)/exp(x)+(eta*d^3+rho*b^2*d)/exp(x)^3

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3Â¥2007-10-25 15:42:26
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