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yfl · 2009-06-15, 21:52

>> syms x0 y0
>> [x,y]=dsolve('Dx=y','Dy=-2*x','x(0)=x0','y(0)=y0')

x =

-1/2*2^(1/2)*(-cos(2^(1/2)*t)*2^(1/2)*x0-y0*sin(2^(1/2)*t))

y =

-2^(1/2)*x0*sin(2^(1/2)*t)+y0*cos(2^(1/2)*t)

2009-06-15, 21:52	#2
yfl 高级会员注册日期: 2009-04-11 年龄: 38 帖子: 138 声望力: 19	回复: 如何求解常微分方程组？ >> syms x0 y0 >> [x,y]=dsolve('Dx=y','Dy=-2x','x(0)=x0','y(0)=y0') x = -1/22^(1/2)(-cos(2^(1/2)t)2^(1/2)x0-y0sin(2^(1/2)t)) y = -2^(1/2)x0sin(2^(1/2)t)+y0cos(2^(1/2)*t)