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Popular >

(dy)/(dx)=-ky^2

Solution

\frac{d y}{d x} = - k y^{2}

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

\frac{y ^{^{'}}}{x} + y = 1

sin(y)+1/2 xcos(y)(dy)/(dx)=3

sin (y) + \frac{1}{2} x cos (y) \frac{d y}{d x} = 3

y^{^{'}} = e^{x} e^{- y}

(dP)/(dt)=4sqrt(Pt),P(1)=5

\frac{d P}{d t} = 4 Pt, P (1) = 5

(x^2-1)(dy)/(dx)+2xy=x

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

Frequently Asked Questions (FAQ)

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