en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dx)=(y-1)x

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

integral of (x^{-3/4})

(dy)/(dx)= y/x+3x+1

tangent of f(x)= x/(x^2+49)

derivative of 2ln|x-e^x|

Frequently Asked Questions (FAQ)

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