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Popular >

(dy)/(dt)=ky^2

Solution

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

Solution

y = - \frac{1}{k t + c _{1}}

Solution steps

\frac{d y}{d t} = k y (t)^{2}

Solve separable ODE:

y = - \frac{1}{k t + c _{1}}

y = - \frac{1}{k t + c _{1}}

Popular Examples

integral from 0 to 64 of 3/(x^{2/3)}

\int_{0}^{64} \frac{3}{x ^{\frac{2}{3}}} d x

limit as x approaches-1 of-x+2

x \to - 1 lim (- x + 2)

y^{''}-2y^'+5y=2sin(t),y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 2 sin (t), y (0) = 0, y^{^{'}} (0) = 1

integral of e^{itx}

\int e^{i t x} d x

limit as x approaches 2 of (5x)/(x-3)

x \to 2 lim (\frac{5 x}{x - 3})

Frequently Asked Questions (FAQ)

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