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Popular >

x*(dy)/(dx)=y^2

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of (sqrt(25-x^2))/(8x)derivative of

\frac{25 - x ^{2}}{8 x}

integral from 0 to infinity of 5e^{-x}

\int_{0}^{\infty} 5 e^{- x} d x

derivative of f(x)=cos(3x^2)derivative of

f (x) = cos (3 x^{2})

limit as x approaches pi+of sec(x)

x \to π + lim (sec (x))

(\partial ^3)/(\partial x\partial y\partial z)(e^{xyz^5})

\frac{\partial ^{3}}{\partial x \partial y \partial z} (e^{x y z^{5}})

Frequently Asked Questions (FAQ)

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