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Popular >

(dp)/(dt)=c(1-p)

Solution

\frac{d p}{d t} = c (1 - p)

Solution

p = - e^{- c t - c_{1}} + 1

Solution steps

\frac{d p}{d t} = c (1 - p)

Solve separable ODE:

p = - e^{- c t - c_{1}} + 1

p = - e^{- c t - c_{1}} + 1

Popular Examples

(dp)/(dt)=t^2p-5p+t^2-5

\frac{d p}{d t} = t^{2} p - 5 p + t^{2} - 5

y^{^{'}} = \frac{2}{x} y

x(y^2-1)dx+y(x^2-1)dy=0

x (y^{2} - 1) d x + y (x^{2} - 1) d y = 0

5(dQ)/(dt)+1/(0.05)Q=80

5 \frac{d Q}{d t} + \frac{1}{0.05} Q = 80

(dy)/(dx)=(x^2+xy)/(xy+y^2)

\frac{d y}{d x} = \frac{x ^{2} + x y}{x y + y ^{2}}

Frequently Asked Questions (FAQ)

What is the solution for (dp)/(dt)=c(1-p) ?
The solution for (dp)/(dt)=c(1-p) is p=-e^{-ct-c_{1}}+1