en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+5y=8

Solution

\frac{d y}{d x} + 5 y = 8

Solution

y = - \frac{e ^{- 5 x - c_{1}}}{5} + \frac{8}{5}

Solution steps

\frac{d y}{d x} + 5 y = 8

Solve separable ODE:

y = - \frac{e ^{- 5 x - c_{1}}}{5} + \frac{8}{5}

y = - \frac{e ^{- 5 x - c_{1}}}{5} + \frac{8}{5}

Popular Examples

derivative of sin(x^2+sin(x^2+sin(x^2)))

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

integral of 16x^2

\int 16 x^{2} d x

derivative of x|x|^{|x|-1}(ln|x|+1)

\frac{d}{d x} (x ∣ x ∣^{∣ x ∣ - 1} (ln ∣ x ∣ + 1))

tangent of f(x)=x^3,\at =0 tangent of

f (x) = x^{3}, at = 0

limit as x approaches 4+of cx^2+3x

x \to 4 + lim (c x^{2} + 3 x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+5y=8 ?
The solution for (dy)/(dx)+5y=8 is y=-(e^{-5x-c_{1}})/5+8/5