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Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of ln(3x+2)derivative of

ln (3 x + 2)

limit as n approaches infinity of \sum_{i=1}^n(i^3)/(n^4)+1/n

n \to \infty lim (i = 1 \sum n \frac{i ^{3}}{n ^{4}} + \frac{1}{n})

derivative of m(t)=5t(3t^4-1)^5 derivative of

m (t) = 5 t (3 t^{4} - 1)^{5}

derivative of xcos(y-ye^x)

\frac{d}{d x} (x cos (y) - y e^{x})

derivative of f(x)=6x^5e^x+e^xx^6 derivative of

f (x) = 6 x^{5} e^{x} + e^{x} x^{6}

Frequently Asked Questions (FAQ)

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