Question

dW/dt=(m-n-kW)W运用积分反推成W(t)=?

Answer 1

dt/dw=1/(m-n-kw)w

=(1/w+k/(m-n-kw))/(m-n)

t=[ln(w)-ln(m-n-kw)]/(m-n)+C

t=ln(w/(m-n-kw))/(m-n)+C

w/(m-n-kw)=e^[(t-C)(m-n)]

从而解出w