What is the solution for (dy)/(dx)-y= 11/8 e^{-x/3} ?

The solution for (dy)/(dx)-y= 11/8 e^{-x/3} is y=-(33)/(32e^{x/3)}+c_{1}e^x

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(dy)/(dx)-y= 11/8 e^{-x/3}

\frac{d y}{d x} - y = \frac{11}{8} e^{- \frac{x}{3}}

y = - \frac{33}{32 e ^{\frac{x}{3}}} + c_{1} e^{x}

Solution steps

\frac{d y}{d x} - y = \frac{11}{8} e^{- \frac{x}{3}}

Solve linear ODE:

y = - \frac{33}{32 e ^{\frac{x}{3}}} + c_{1} e^{x}

y = - \frac{33}{32 e ^{\frac{x}{3}}} + c_{1} e^{x}

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What is the solution for (dy)/(dx)-y= 11/8 e^{-x/3} ?
The solution for (dy)/(dx)-y= 11/8 e^{-x/3} is y=-(33)/(32e^{x/3)}+c_{1}e^x