What is the solution for (dx)/(dt)+4tx=t,x(0)=0 ?

The solution for (dx)/(dt)+4tx=t,x(0)=0 is x= 1/4-1/(4e^{2t^2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dx)/(dt)+4tx=t,x(0)=0

\frac{d x}{d t} + 4 t x = t, x (0) = 0

x = \frac{1}{4} - \frac{1}{4 e ^{2 t^{2}}}

Solution steps

\frac{d x}{d t} + 4 t x = t

Solve linear ODE:

x = \frac{1}{4} - \frac{1}{4 e ^{2 t^{2}}}

x = \frac{1}{4} - \frac{1}{4 e ^{2 t^{2}}}

What is the solution for (dx)/(dt)+4tx=t,x(0)=0 ?
The solution for (dx)/(dt)+4tx=t,x(0)=0 is x= 1/4-1/(4e^{2t^2)}