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

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

2 x \frac{d y}{d x} = y + 1

\int_{4}^{6} 0.2 e^{- 0.2 x} d x

x \to 3 lim (\frac{sin ( 3 x )}{x})

\int \frac{x}{( x ^{2} + 6 ) ^{2}} d 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