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Popular >

(dx)/(dt)=x^2,x(0)=1

Solution

\frac{d x}{d t} = x^{2}, x (0) = 1

Solution

x = - \frac{1}{t - 1}

Solution steps

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

Solve separable ODE:

x = - \frac{1}{t - 1}

x = - \frac{1}{t - 1}

Graph

Popular Examples

integral of-6x^{-7}

\int - 6 x^{- 7} d x

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

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

\frac{d y}{d x} = 9 y

derivative of G(t)=(1-3t)/(4+t)derivative of

G (t) = \frac{1 - 3 t}{4 + t}

integral of (x^2)/(5x^3+8)

\int \frac{x ^{2}}{5 x ^{3} + 8} d x

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)=x^2,x(0)=1 ?
The solution for (dx)/(dt)=x^2,x(0)=1 is x=-1/(t-1)