What is the solution for (dx)/(dt)=3x+e^{2t}-2e^{3t}+e^{4t} ?

The solution for (dx)/(dt)=3x+e^{2t}-2e^{3t}+e^{4t} is x=-e^{2t}-2e^{3t}t+e^{4t}+c_{1}e^{3t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=3x+e^{2t}-2e^{3t}+e^{4t}

\frac{d x}{d t} = 3 x + e^{2 t} - 2 e^{3 t} + e^{4 t}

x = - e^{2 t} - 2 e^{3 t} t + e^{4 t} + c_{1} e^{3 t}

Solution steps

\frac{d x}{d t} = 3 x + e^{2 t} - 2 e^{3 t} + e^{4 t}

Solve linear ODE:

x = - e^{2 t} - 2 e^{3 t} t + e^{4 t} + c_{1} e^{3 t}

x = - e^{2 t} - 2 e^{3 t} t + e^{4 t} + c_{1} e^{3 t}

\frac{d}{d x} (ln (\frac{7 x ^{2} + x}{x ^{2}}))

y = (\frac{x}{5 + x})

\frac{d}{d x} (e^{- 2 x} sin (2 x))

\int_{0}^{1} \frac{1}{x ^{1.5}} d x

y = x + 1

What is the solution for (dx)/(dt)=3x+e^{2t}-2e^{3t}+e^{4t} ?
The solution for (dx)/(dt)=3x+e^{2t}-2e^{3t}+e^{4t} is x=-e^{2t}-2e^{3t}t+e^{4t}+c_{1}e^{3t}