en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

x^2y^'=y-xy

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of 2(sin(x^2+2x^2cos(x^2)))

\frac{d}{d x} (2 (sin (x^{2}) + 2 x^{2} cos (x^{2})))

integral of (6x)/(\sqrt[5]{(x^2+7)^2)}

\int \frac{6 x}{5 ( x ^{2} + 7 ) ^{2}} d x

derivative of (x^{10}-1^3)

\frac{d}{d x} ((x^{10} - 1)^{3})

(\partial)/(\partial x)(y^2)

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

integral of xos(8x^2+pi)

\int x os (8 x^{2} + π) d x

Frequently Asked Questions (FAQ)

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