用数学实验MATLAB解答的问题~~~~~~~要建立模型写报告~~

2025-04-06 23:49:15
推荐回答(1个)
回答1:

dy=(1-y)dt*0.5
dy=0.5dt-0.5ydt
dy+0.5ydt=0.5dt
(y*e^(t/2))'=0.5 e^(t/2) dt
(y*e^(t/2))'=(e^(t/2))'
y*e^(t/2)=e^(t/2)+c
y=1+c*e^(-t/2)
t=0 y=0 c=-1
y=1-e^(-t/2) t>0

y=0.8
0.8=1-e^(-t/2)
e^(-t/2)=0.2
-t/2=-ln5
t=2ln5