What is the solution for (dy)/(dt)-y=e^t+12e^{7t} ?

The solution for (dy)/(dt)-y=e^t+12e^{7t} is y=e^tt+2e^{7t}+c_{1}e^t

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)-y=e^t+12e^{7t}

\frac{d y}{d t} - y = e^{t} + 12 e^{7 t}

y = e^{t} t + 2 e^{7 t} + c_{1} e^{t}

Solution steps

\frac{d y}{d t} - y = e^{t} + 12 e^{7 t}

Solve linear ODE:

y = e^{t} t + 2 e^{7 t} + c_{1} e^{t}

y = e^{t} t + 2 e^{7 t} + c_{1} e^{t}

\frac{d}{d x} ((x + 2) (3 x^{2} - 4)^{2})

x^{4} + 2 x

\frac{\partial}{\partial x} (ln (x^{y}) + ln (y^{x}))

\frac{d}{d x} (cos (3 x) 3)

f (x) = x^{2} - x, at x = - 1

What is the solution for (dy)/(dt)-y=e^t+12e^{7t} ?
The solution for (dy)/(dt)-y=e^t+12e^{7t} is y=e^tt+2e^{7t}+c_{1}e^t