en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

xy^'=y^2

Solution

x y^{^{'}} = y^{2}

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

derivative of f(x)=x^2-8x derivative of

f (x) = x^{2} - 8 x

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

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

(\partial)/(\partial x)(3(y/x)^{1/2})

\frac{\partial}{\partial x} (3 (\frac{y}{x})^{\frac{1}{2}})

f^{^{''}} (x) = 4 x

integral from 0 to 3 of pi(6sqrt(3y))^2

\int_{0}^{3} π (6 3 y)^{2} d y

Frequently Asked Questions (FAQ)

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