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Popular >

(dy)/(dt)=-y-y^2

Solution

\frac{d y}{d t} = - y - y^{2}

Solution

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

Solution steps

\frac{d y}{d t} = - y - y^{2}

Solve separable ODE:

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

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

Popular Examples

x^2y^'=1+y,y(1)=3

x^{2} y^{^{'}} = 1 + y, y (1) = 3

(dy)/(dx)=(-2-1.2y)/(0.5+1.2x)

\frac{d y}{d x} = \frac{- 2 - 1.2 y}{0.5 + 1.2 x}

t^{2} y^{^{'}} + 5 t^{2} y = 0

(2 + x) y^{^{'}} = 2 y

(dx)/(dt)-0.04x=5000,x(0)=18000

\frac{d x}{d t} - 0.04 x = 5000, x (0) = 18000

Frequently Asked Questions (FAQ)

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