What is the solution for (dy)/(dt)=-0.4y+6.2e^{-0.73t} ?

The solution for (dy)/(dt)=-0.4y+6.2e^{-0.73t} is y=-(18.78787…)/(e^{0.73t)}+(c_{1})/(e^{0.4t)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=-0.4y+6.2e^{-0.73t}

\frac{d y}{d t} = - 0.4 y + 6.2 e^{- 0.73 t}

y = - \frac{18.78787 \dots}{e ^{0.73 t}} + \frac{c _{1}}{e ^{0.4 t}}

Solution steps

\frac{d y}{d t} = - 0.4 y + 6.2 e^{- 0.73 t}

Solve linear ODE:

y = - \frac{18.78787 \dots}{e ^{0.73 t}} + \frac{c _{1}}{e ^{0.4 t}}

y = - \frac{18.78787 \dots}{e ^{0.73 t}} + \frac{c _{1}}{e ^{0.4 t}}

\int e^{x} (cos (x)) d x

x + 2, x^{2}

\int x \cdot 4 - x^{2} d x

x^{2} y^{^{''}} - 2 x y^{^{'}} + (x^{2} + 2) y = 0

y = \frac{x}{5} - \frac{5}{x}

What is the solution for (dy)/(dt)=-0.4y+6.2e^{-0.73t} ?
The solution for (dy)/(dt)=-0.4y+6.2e^{-0.73t} is y=-(18.78787…)/(e^{0.73t)}+(c_{1})/(e^{0.4t)}