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

The solution for 5t*(dy)/(dt)+2y=sqrt(t) is y=(2t^{1/2})/9+(c_{1})/(t^{2/5)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y = \frac{2 t ^{\frac{1}{2}}}{9} + \frac{c _{1}}{t ^{\frac{2}{5}}}

Solution steps

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

Solve linear ODE:

y = \frac{2 t ^{\frac{1}{2}}}{9} + \frac{c _{1}}{t ^{\frac{2}{5}}}

y = \frac{2 t ^{\frac{1}{2}}}{9} + \frac{c _{1}}{t ^{\frac{2}{5}}}

y^{\frac{3}{2}} (y + c e^{y})

\frac{\partial}{\partial x} (\frac{a \cdot b}{c \cdot x})

\frac{d}{d x} ((x^{3} + 3)^{3})

\int sin (x) (cos (x))^{5} d x

f (x) = 5 ln (4 x)

What is the solution for 5t*(dy)/(dt)+2y=sqrt(t) ?
The solution for 5t*(dy)/(dt)+2y=sqrt(t) is y=(2t^{1/2})/9+(c_{1})/(t^{2/5)}