What is the solution for (dy)/(dx)+4y-e^{-x}=0,y(0)= 4/3 ?

The solution for (dy)/(dx)+4y-e^{-x}=0,y(0)= 4/3 is y= 1/(3e^x)+1/(e^{4x)}

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(dy)/(dx)+4y-e^{-x}=0,y(0)= 4/3

\frac{d y}{d x} + 4 y - e^{- x} = 0, y (0) = \frac{4}{3}

y = \frac{1}{3 e ^{x}} + \frac{1}{e ^{4 x}}

Solution steps

\frac{d y}{d x} + 4 y - e^{- x} = 0

Solve linear ODE:

y = \frac{1}{3 e ^{x}} + \frac{1}{e ^{4 x}}

y = \frac{1}{3 e ^{x}} + \frac{1}{e ^{4 x}}

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What is the solution for (dy)/(dx)+4y-e^{-x}=0,y(0)= 4/3 ?
The solution for (dy)/(dx)+4y-e^{-x}=0,y(0)= 4/3 is y= 1/(3e^x)+1/(e^{4x)}