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3Â¥: Originally posted by baobiao007 at 2013-10-31 19:23:01
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function yprime=ode_func(x,y)
k = 1; %°´Êµ¼ÊÇé¿öÌîд
c0 = 2; %°´Êµ¼ÊÇé¿öÌîд
yprime = [y(2); (1+y(2)^2)^(3/2)*(k*x+c0)];

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y0=[0,1];
xspan=[-10, 10];
[x y] = ode45(@ode_func,xspan,y0);
plot(x,y(1));
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7Â¥: Originally posted by cobrasq at 2013-11-02 04:13:50
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dsolve('D2y^2=(k*x+c0)^2*(1+Dy^2)^3','x');
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dsolve('D2y^2=(k*x+c0)^2*(1+Dy^2)^3',¡®y(0)=0', 'Dy(0)=0', 'x');

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8Â¥: Originally posted by ¸¶±ûÒú at 2013-11-04 15:10:02
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function yprime=ode_func(x,y)
k = 1; %°´Êµ¼ÊÇé¿öÌîд
c0 = 2; %°´Êµ¼ÊÇé¿öÌîд
yprime = [y(2); (1+y(2)^2)^(3/2)*(k*x+c0)];

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y0=[0,1];
xspan=[-10, 10];
[x y] = ode45(@ode_func,xspan,y0);
plot(x,y(1));
9Â¥2013-11-04 22:16:49
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9Â¥: Originally posted by cobrasq at 2013-11-04 22:16:49
ÎÒµÄԭʼ»Ø¸´ÖÐÒѾ­¸æËßÈçºÎ»­Í¼ÏñÁË¡£ÆäÖÐµÄ ode_func.m ¾ÍÊÇÀûÓû»Ôª·¨£¨Áî y' = y1£¬Ôò y'' = y1'£©½«2½×΢·Ö·½³Ìת»»ÎªÒ»¸ö1½×΢·Ö·½³Ì×é¡£
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Warning: Failure at t=-9.783675e+000.  Unable to meet integration tolerances without reducing the step size below the smallest value allowed (2.842171e-014) at time t.
> In ode45 at 355
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