en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dt)+e^ty=-5e^t

Solution

\frac{d y}{d t} + e^{t} y = - 5 e^{t}

Solution

y = e^{- e^{t} + c_{1}} - 5

Solution steps

\frac{d y}{d t} + e^{t} y = - 5 e^{t}

Solve separable ODE:

y = e^{- e^{t} + c_{1}} - 5

y = e^{- e^{t} + c_{1}} - 5

Graph

Popular Examples

integral of x^2ycos(x)+2xysin(x)-y^2e^x

\int x^{2} y cos (x) + 2 x y sin (x) - y^{2} e^{x} d x

integral of (1/((25-x^2)^{3/2)})

\int (\frac{1}{( 25 - x ^{2} ) ^{\frac{3}{2}}}) d x

integral of (5+sqrt(x))/(5-sqrt(x))

\int \frac{5 + x}{5 - x} d x

integral of (e^{sqrt(x)}+1)/(sqrt(x))

\int \frac{e ^{x} + 1}{x} d x

tangent of f(x)= 4/(x+1),\at x=1

t an g e n t f (x) = \frac{4}{x + 1}, at x = 1

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+e^ty=-5e^t ?
The solution for (dy)/(dt)+e^ty=-5e^t is y=e^{-e^t+c_{1}}-5