What is the solution for y^'=3-y/(1000) ?

The solution for y^'=3-y/(1000) is y=-e^{(-t-c_{1})/(1000)}+3000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=3-y/(1000)

y^{^{'}} = 3 - \frac{y}{1000}

y = - e^{\frac{- t - c _{1}}{1000}} + 3000

Solution steps

y^{'} (t) = 3 - \frac{y}{1000}

Solve separable ODE:

y = - e^{\frac{- t - c _{1}}{1000}} + 3000

y = - e^{\frac{- t - c _{1}}{1000}} + 3000

y = 49.99 sin (\frac{x}{5.0073}) + 49.99

\frac{d}{d x} (\frac{( 2 - x ) ^{2}}{( 2 + x )})

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

x \to - 5 lim (\frac{( x ^{2} + 6 x + 5 )}{x ^{2} + 4 x - 5})

y^{^{'}} = 3 y + 2

What is the solution for y^'=3-y/(1000) ?
The solution for y^'=3-y/(1000) is y=-e^{(-t-c_{1})/(1000)}+3000