en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)+e^ty=9e^t

Solution

\frac{d y}{d t} + e^{t} y = 9 e^{t}

Solution

y = - e^{- e^{t} - c_{1}} + 9

Solution steps

\frac{d y}{d t} + e^{t} y = 9 e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 9

y = - e^{- e^{t} - c_{1}} + 9

Popular Examples

(dy)/(dx)=6y^2x

\frac{d y}{d x} = 6 y^{2} x

normal of y=x^2-5x+3,(2,-3)normal of

y = x^{2} - 5 x + 3, (2, - 3)

sum from n=5 to infinity of 3(0.9)^{n+1}

n = 5 \sum \infty 3 (0.9)^{n + 1}

limit as x approaches 0 of x-ln(x)

x \to 0 lim (x - ln (x))

y^{^{'}} + y^{5} x + 9 y = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+e^ty=9e^t ?
The solution for (dy)/(dt)+e^ty=9e^t is y=-e^{-e^t-c_{1}}+9