en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve linear ODE:

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

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

Popular Examples

derivative of x^{2/3}(2x-x^2)

\frac{d}{d x} (x^{\frac{2}{3}} (2 x - x^{2}))

(\partial ^3)/(\partial x\partial y\partial z)(e^{xyz^6})

\frac{\partial ^{3}}{\partial x \partial y \partial z} (e^{x y z^{6}})

(\partial)/(\partial y)(3e^xln(y))

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

integral from 0 to 1 of 6x^4e^{-x}

\int_{0}^{1} 6 x^{4} e^{- x} d x

limit as x approaches 0 of (e^{-9x}-1)/x

x \to 0 lim (\frac{e ^{- 9 x} - 1}{x})

Frequently Asked Questions (FAQ)

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