What is the solution for tln(t)(dr)/(dt)+r=9te^t ?

The solution for tln(t)(dr)/(dt)+r=9te^t is r=(9e^t)/(ln(t))+(c_{1})/(ln(t))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

tln(t)(dr)/(dt)+r=9te^t

t ln (t) \frac{d r}{d t} + r = 9 t e^{t}

r = \frac{9 e ^{t}}{ln ( t )} + \frac{c _{1}}{ln ( t )}

Solution steps

t ln (t) \frac{d r}{d t} + r = 9 t e^{t}

Solve linear ODE:

r = \frac{9 e ^{t}}{ln ( t )} + \frac{c _{1}}{ln ( t )}

r = \frac{9 e ^{t}}{ln ( t )} + \frac{c _{1}}{ln ( t )}

What is the solution for tln(t)(dr)/(dt)+r=9te^t ?
The solution for tln(t)(dr)/(dt)+r=9te^t is r=(9e^t)/(ln(t))+(c_{1})/(ln(t))