en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)+5y=-4

Solution

\frac{d y}{d x} + 5 y = - 4

Solution

y = \frac{e ^{- 5 x - c_{1}}}{5} - \frac{4}{5}

Solution steps

\frac{d y}{d x} + 5 y = - 4

Solve separable ODE:

y = \frac{e ^{- 5 x - c_{1}}}{5} - \frac{4}{5}

y = \frac{e ^{- 5 x - c_{1}}}{5} - \frac{4}{5}

Popular Examples

y^'=(-(3y^2+1)x)/(x^2+1)

y^{^{'}} = \frac{- ( 3 y ^{2} + 1 ) x}{x ^{2} + 1}

derivative of 7x^2+8ln(xy)=14

\frac{d}{d x} (7 x^{2} + 8 ln (x y)) = 14

y^'=(4x)/(1+2y),y(2)=0

y^{^{'}} = \frac{4 x}{1 + 2 y}, y (2) = 0

y^'=-9/4 x^6y^4

y^{^{'}} = - \frac{9}{4} x^{6} y^{4}

y^'+4y=5,y(0)=1

y^{^{'}} + 4 y = 5, y (0) = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)+5y=-4 ?
The solution for (dy)/(dx)+5y=-4 is y=(e^{-5x-c_{1}})/5-4/5