en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+2xy=-x

Solution

\frac{d y}{d x} + 2 x y = - x

Solution

y = \frac{e ^{- x^{2} + c_{1}}}{2} - \frac{1}{2}

Solution steps

\frac{d y}{d x} + 2 x y = - x

Solve separable ODE:

y = \frac{e ^{- x^{2} + c_{1}}}{2} - \frac{1}{2}

y = \frac{e ^{- x^{2} + c_{1}}}{2} - \frac{1}{2}

Graph

Popular Examples

ty^'+8y=t^2-t+1

t y^{^{'}} + 8 y = t^{2} - t + 1

derivative of 1/((25-x^2))

\frac{d}{d x} (\frac{1}{( 25 - x ^{2} )})

integral of e^7

\int e^{7} d x

y^{''}-2y^'-3y=3te^{2t},y(0)=1,y^'(0)=0

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 t e^{2 t}, y (0) = 1, y^{^{'}} (0) = 0

y^'=8x+y,y(0)=1

y^{^{'}} = 8 x + y, y (0) = 1

Frequently Asked Questions (FAQ)

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