en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=(2-y)x

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

\frac{d y}{d t} - 2 y = 1

(dy)/(dx)=ysin(3x)-3ye^{-3x}

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

(x-1)((dy)/(dx))=4-y^2

(x - 1) (\frac{d y}{d x}) = 4 - y^{2}

(dy)/(dx)=x+4xy

\frac{d y}{d x} = x + 4 x y

xsqrt(1-y^2dx)+ysqrt(1-x^2)dy=0

x 1 - y^{2} d x + y 1 - x^{2} d y = 0

Frequently Asked Questions (FAQ)

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