en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dx)=100-y

Solution

\frac{d y}{d x} = 100 - y

Solution

y = - e^{- x - c_{1}} + 100

Solution steps

\frac{d y}{d x} = 100 - y

Solve separable ODE:

y = - e^{- x - c_{1}} + 100

y = - e^{- x - c_{1}} + 100

Graph

Popular Examples

limit as x approaches infinity of (1+1/(2x+1))^{sqrt(x^{2-3)}}

x \to \infty lim ((1 + \frac{1}{2 x + 1})^{x^{2 - 3}})

integral from 0 to 1 of (x^2-3x+6)

\int_{0}^{1} (x^{2} - 3 x + 6) d x

limit as x approaches 0 of+(xsin(1/x))

x \to 0 lim (+ (x sin (\frac{1}{x})))

y^{'''}+y^{''}=3e^x+4x^2

y^{^{'''}} + y^{^{''}} = 3 e^{x} + 4 x^{2}

(dy)/(dt)-2ty=9t^2e^{t^2}

\frac{d y}{d t} - 2 t y = 9 t^{2} e^{t^{2}}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=100-y ?
The solution for (dy)/(dx)=100-y is y=-e^{-x-c_{1}}+100