en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=1-x

Solution

\frac{d x}{d t} = 1 - x

Solution

x = - e^{- t - c_{1}} + 1

Solution steps

\frac{d x}{d t} = 1 - x

Solve separable ODE:

x = - e^{- t - c_{1}} + 1

x = - e^{- t - c_{1}} + 1

Popular Examples

2xy^3dx+3x^2y^2dy=0,y(1)=2

2 x y^{3} d x + 3 x^{2} y^{2} d y = 0, y (1) = 2

5x(dy)/(dx)=6(7-3y)

5 x \frac{d y}{d x} = 6 (7 - 3 y)

y^{^{'}} + 5 y = 50

(dy)/(dx)=3x^6sqrt(y),y>0

\frac{d y}{d x} = 3 x^{6} y, y > 0

y^'-2y=2y^{1/2},y(0)=1

y^{^{'}} - 2 y = 2 y^{\frac{1}{2}}, y (0) = 1

Frequently Asked Questions (FAQ)

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