What is the solution for (4+t^2)((dy)/(dt))+2ty=4t ?

The solution for (4+t^2)((dy)/(dt))+2ty=4t is y=(c_{1})/(t^2+4)+2

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(4+t^2)((dy)/(dt))+2ty=4t

(4 + t^{2}) (\frac{d y}{d t}) + 2 t y = 4 t

y = \frac{c _{1}}{t ^{2} + 4} + 2

Solution steps

(4 + t^{2}) (\frac{d y}{d t}) + 2 t y = 4 t

Solve separable ODE:

y = \frac{c _{1}}{t ^{2} + 4} + 2

y = \frac{c _{1}}{t ^{2} + 4} + 2

x \to \infty lim (\frac{10 0 ^{3}}{3 ^{100}})

\frac{d}{d x} (- x sin (x y))

x \to 0 lim (\frac{( x )}{x + 1})

\int e^{\frac{1}{x}} \cdot x^{- 2} d x

\frac{d}{d x} (x - 4 3 x)

What is the solution for (4+t^2)((dy)/(dt))+2ty=4t ?
The solution for (4+t^2)((dy)/(dt))+2ty=4t is y=(c_{1})/(t^2+4)+2