What is the solution for (dy)/(dx)+3y= 3/2 ?

The solution for (dy)/(dx)+3y= 3/2 is y=-(e^{-3x-c_{1}})/6+1/2

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(dy)/(dx)+3y= 3/2

\frac{d y}{d x} + 3 y = \frac{3}{2}

y = - \frac{e ^{- 3 x - c_{1}}}{6} + \frac{1}{2}

Solution steps

\frac{d y}{d x} + 3 y = \frac{3}{2}

Solve separable ODE:

y = - \frac{e ^{- 3 x - c_{1}}}{6} + \frac{1}{2}

y = - \frac{e ^{- 3 x - c_{1}}}{6} + \frac{1}{2}

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What is the solution for (dy)/(dx)+3y= 3/2 ?
The solution for (dy)/(dx)+3y= 3/2 is y=-(e^{-3x-c_{1}})/6+1/2