dy(t)/dt = k y(t) [1 - y(t)/w] y(0) = y0 用MATLAB能编程能求出y(t)吗?

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dy(t)/dt = k y(t) [1 - y(t)/w] y(0) = y0 用MATLAB能编程能求出y(t)吗?
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dy(t)/dt = k y(t) [1 - y(t)/w] y(0) = y0 用MATLAB能编程能求出y(t)吗?
dy(t)/dt = k y(t) [1 - y(t)/w] y(0) = y0 用MATLAB能编程能求出y(t)吗?

dy(t)/dt = k y(t) [1 - y(t)/w] y(0) = y0 用MATLAB能编程能求出y(t)吗?
dsolve('Dy = k*y*(1 - y/w)','y(0) = y0')
...
ans =
-w/(exp(w*(log(-(w - y0)/y0)/w - (k*t)/w)) - 1)