What is the solution for (dy)/(dt)=1500-3/170 y ?

The solution for (dy)/(dt)=1500-3/170 y is y=-(e^{(-3t-c_{1})/(170)})/3+85000

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=1500-3/170 y

\frac{d y}{d t} = 1500 - \frac{3}{170} y

y = - \frac{e ^{\frac{- 3 t - c _{1}}{170}}}{3} + 85000

Solution steps

\frac{d y}{d t} = 1500 - \frac{3}{170} y

Solve separable ODE:

y = - \frac{e ^{\frac{- 3 t - c _{1}}{170}}}{3} + 85000

y = - \frac{e ^{\frac{- 3 t - c _{1}}{170}}}{3} + 85000

\frac{d}{d x} (\frac{x - 8}{5 x ^{2} e ^{x}})

(2 x - 6)^{4} (x^{2} + x + 1)^{5}

\int \frac{10 x - 15}{x ^{2} + 25} d x

\int_{0}^{\frac{π}{9}} x tan^{2} (3 x) d x

\frac{d}{d x} (\frac{ln ( sin ( x ^{2} ) + 1 )}{f ( x )})

What is the solution for (dy)/(dt)=1500-3/170 y ?
The solution for (dy)/(dt)=1500-3/170 y is y=-(e^{(-3t-c_{1})/(170)})/3+85000