en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

y^{^{'}} + \frac{3}{4} y = x^{4} y

e^{2y}y^'=x^2-6x,y(1)=ln(3)

e^{2 y} y^{^{'}} = x^{2} - 6 x, y (1) = ln (3)

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

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

(dy)/(dx)=e^{3x-3y}

\frac{d y}{d x} = e^{3 x - 3 y}

(dy}{dx}=\frac{((x^2)(y^2)))/5

\frac{d y}{d x} = \frac{( ( x ^{2} ) ( y ^{2} ) )}{5}

Frequently Asked Questions (FAQ)

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