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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\int_{1}^{3} \frac{2}{x ^{2} + 2 x + 1} d x

f (x) = x^{2} + 5, at x = - 2

\frac{16}{4 + x ^{2}}, y = 1

y = \frac{1}{4 - 9 x ^{2}}, (0, \frac{1}{3})

\frac{d}{d x} (- 7 sin (cos (x)))

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