[问题] 解常微分方程

楼主: mgla8063 (青涩的柿子)   2013-03-12 02:47:29
我要解一个联立微分方程:
x'=0.02x-0.00004xy
y'=0.0004xy-0.04y
x(0)=500
y(0)=200
其中x,y都是t的函数,我输入下面的指令:
DSolve[{x'[t] == 2/100 x[t] - 4/100000 x[t] y[t],
y'[t] == 4/10000 x[t] y[t] - 4/100 y[t], y[0] == 200, x[0] == 500},
{x[t], y[t]}, t]
却发现电脑给我一大堆错误讯息,
想请问是哪里出了问题?谢谢大家。
作者: Frobenius (▽.(▽×▽φ)=0)   2013-03-13 13:54:00
Solve::ifun: Inverse functions are being used bySolve, so some solutions may not be found; useReduce for complete solution information. (出现三次)General::stop: Further output of Solve will besuppressed during this calculation.DSolve::bvnul: For some branches of the generalsolution, the given boundary conditions lead toan empty solution. (出现两次)

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