What is the solution for 2t*(dy)/(dt)+5y=sqrt(t) ?

The solution for 2t*(dy)/(dt)+5y=sqrt(t) is y=(t^{1/2})/6+(c_{1})/(t^{5/2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2t*(dy)/(dt)+5y=sqrt(t)

2 t \cdot \frac{d y}{d t} + 5 y = t

y = \frac{t ^{\frac{1}{2}}}{6} + \frac{c _{1}}{t ^{\frac{5}{2}}}

Solution steps

2 t \cdot \frac{d y}{d t} + 5 y = t

Solve linear ODE:

y = \frac{t ^{\frac{1}{2}}}{6} + \frac{c _{1}}{t ^{\frac{5}{2}}}

y = \frac{t ^{\frac{1}{2}}}{6} + \frac{c _{1}}{t ^{\frac{5}{2}}}

y = \frac{8 x}{e ^{x}}

x \to 1 lim (e^{5 x^{3} - 5 x})

\int_{0}^{6} \frac{2 x}{( x - 7 ) ^{2}} d x

\frac{r}{r ^{2} + 5}

\frac{d}{d x} (\frac{110}{x ^{12}})

What is the solution for 2t*(dy)/(dt)+5y=sqrt(t) ?
The solution for 2t*(dy)/(dt)+5y=sqrt(t) is y=(t^{1/2})/6+(c_{1})/(t^{5/2)}