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Popular >

(dx)/(dt)=-x^2+4x

Solution

\frac{d x}{d t} = - x^{2} + 4 x

Solution

x = \frac{4}{- e ^{- 4 t - c_{1}} + 1}

Solution steps

\frac{d x}{d t} = - x^{2} + 4 x

Solve Bernoulli ODE:

x = \frac{4}{- e ^{- 4 t - c_{1}} + 1}

x = \frac{4}{- e ^{- 4 t - c_{1}} + 1}

Graph

Popular Examples

(dx)/(dt)+cos(t)x-cos(t)=0

\frac{d x}{d t} + cos (t) x - cos (t) = 0

y^'=y(1-y/(2000))

y^{^{'}} = y (1 - \frac{y}{2000})

(dx)/(dt)=12-(36x)/(100)

\frac{d x}{d t} = 12 - \frac{36 x}{100}

(dy)/(dt)=-1/50 (y-17)

\frac{d y}{d t} = - \frac{1}{50} (y - 17)

d/(dt)(45440x)=-28920x

\frac{d}{d t} (45440 x) = - 28920 x

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=-x^2+4x ?
The solution for (dx)/(dt)=-x^2+4x is x= 4/(-e^{-4t-c_{1)}+1}