en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=x+xy

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

derivative of f(x)=2ln(x)derivative of

f (x) = 2 ln (x)

inverse oflaplace (-s-1)/(s^2+s+1)inverse laplace

\frac{- s - 1}{s ^{2} + s + 1}

area y=e^x,y=e^{-x},[0,1]area

y = e^{x}, y = e^{- x}, [0, 1]

derivative of cos(sin^2(3x))

\frac{d}{d x} (cos (sin^{2} (3 x)))

integral of cot(pix)

\int cot (π x) d x

Frequently Asked Questions (FAQ)

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