What is the solution for (dy)/(dx)=8-15y ?

The solution for (dy)/(dx)=8-15y is y=-(e^{-15x-c_{1}})/(15)+8/15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=8-15y

\frac{d y}{d x} = 8 - 15 y

y = - \frac{e ^{- 15 x - c_{1}}}{15} + \frac{8}{15}

Solution steps

\frac{d y}{d x} = 8 - 15 y

Solve separable ODE:

y = - \frac{e ^{- 15 x - c_{1}}}{15} + \frac{8}{15}

y = - \frac{e ^{- 15 x - c_{1}}}{15} + \frac{8}{15}

\frac{d y}{d x} = \frac{2 x + 1}{2 y}, y (- 2) = - 1

2 y = 3 - x y^{^{'}}

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

e^{y} y^{^{'}} = \frac{( ln ( t ) ) ^{2}}{t}, y (1) = ln (10)

(3 x cos (3 x) + sin (3 x) - 3) d x + (2 y + 5) d y = 0

What is the solution for (dy)/(dx)=8-15y ?
The solution for (dy)/(dx)=8-15y is y=-(e^{-15x-c_{1}})/(15)+8/15