What is the solution for (dy)/(dt)=y*ln(t),y(e)=200 ?

The solution for (dy)/(dt)=y*ln(t),y(e)=200 is y=200e^{-t}t^t

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=y*ln(t),y(e)=200

\frac{d y}{d t} = y \cdot ln (t), y (e) = 200

y = 200 e^{- t} t^{t}

Solution steps

\frac{d y}{d t} = y \cdot ln (t)

Solve separable ODE:

y = 200 e^{- t} t^{t}

y = 200 e^{- t} t^{t}

x \to 2 lim (\frac{- x}{( 2 - x )})

\int e^{x + 7 e^{x}} d x

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

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

y^{^{''}} + 25 y = sec (5 x)

What is the solution for (dy)/(dt)=y*ln(t),y(e)=200 ?
The solution for (dy)/(dt)=y*ln(t),y(e)=200 is y=200e^{-t}t^t