en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=x-y,y(0)=2

Solution

\frac{d y}{d x} = x - y, y (0) = 2

Solution

y = x - 1 + \frac{3}{e ^{x}}

Solution steps

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

Solve linear ODE:

y = x - 1 + \frac{3}{e ^{x}}

y = x - 1 + \frac{3}{e ^{x}}

Popular Examples

limit as x approaches 0 of ln(1/(x^2))

x \to 0 lim (ln (\frac{1}{x ^{2}}))

(\partial)/(\partial z)(y^2z)

\frac{\partial}{\partial z} (y^{2} z)

integral from 0 to N of e^{-st}cos(3t)

\int_{0}^{N} e^{- s t} cos (3 t) d t

tangent of y=4x-3x^2,(2,-4)tangent of

y = 4 x - 3 x^{2}, (2, - 4)

derivative of (x+2)^2 derivative of

(x + 2)^{2}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=x-y,y(0)=2 ?
The solution for (dy)/(dx)=x-y,y(0)=2 is y=x-1+3/(e^x)