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Popular >

(dy)/(dx)=y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral from 0 to 1 of (x^2+2)e^{-x}

\int_{0}^{1} (x^{2} + 2) e^{- x} d x

(dy)/(dx)=sqrt(9y)e^{x+5}

\frac{d y}{d x} = 9 y e^{x + 5}

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

integral from 2 to 5 of e^{2x}

\int_{2}^{5} e^{2 x} d x

(\partial)/(\partial x)(4x^5-2y^{-3})

\frac{\partial}{\partial x} (4 x^{5} - 2 y^{- 3})

Frequently Asked Questions (FAQ)

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