What is the solution for (dy)/(dx)+y=e^{-2} ?

The solution for (dy)/(dx)+y=e^{-2} is y=-e^{-x-c_{1}-2}+1/(e^2)

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(dy)/(dx)+y=e^{-2}

\frac{d y}{d x} + y = e^{- 2}

y = - e^{- x - c_{1} - 2} + \frac{1}{e ^{2}}

Solution steps

\frac{d y}{d x} + y = e^{- 2}

Solve separable ODE:

y = - e^{- x - c_{1} - 2} + \frac{1}{e ^{2}}

y = - e^{- x - c_{1} - 2} + \frac{1}{e ^{2}}

(1 + x^{2}) \frac{d y}{d x} (2 x y) = - x

2 \frac{d y}{d t} + 4 y = 6

y^{^{'}} = 0.5 y (1 - \frac{y}{10000})

d v = 4 π r^{2} d r

What is the solution for (dy)/(dx)+y=e^{-2} ?
The solution for (dy)/(dx)+y=e^{-2} is y=-e^{-x-c_{1}-2}+1/(e^2)