What is the solution for (dx)/(dt)+x= 1/(t+1) ?

The solution for (dx)/(dt)+x= 1/(t+1) is x=(\Ei(t+1))/(e^{1+t)}+(c_{1})/(e^t)

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(dx)/(dt)+x= 1/(t+1)

\frac{d x}{d t} + x = \frac{1}{t + 1}

x = \frac{Ei ( t + 1 )}{e ^{1 + t}} + \frac{c _{1}}{e ^{t}}

Solution steps

\frac{d x}{d t} + x = \frac{1}{t + 1}

Solve linear ODE:

x = \frac{Ei ( t + 1 )}{e ^{1 + t}} + \frac{c _{1}}{e ^{t}}

x = \frac{Ei ( t + 1 )}{e ^{1 + t}} + \frac{c _{1}}{e ^{t}}

\frac{\partial}{\partial x} (cos (2 x + 5 y + 9 z))

f (x) = - sin (x), at x = 0

e^{x + y} y^{^{'}} = x

x \to 5 + lim (ln (sin (x)))

y^{^{'}} = \frac{( x y + 2 y )}{x + 3}

What is the solution for (dx)/(dt)+x= 1/(t+1) ?
The solution for (dx)/(dt)+x= 1/(t+1) is x=(\Ei(t+1))/(e^{1+t)}+(c_{1})/(e^t)