What is the solution for 3((dy)/(dx))+12y=4 ?

The solution for 3((dy)/(dx))+12y=4 is y=-(e^{-4x-c_{1}})/3+1/3

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3((dy)/(dx))+12y=4

3 (\frac{d y}{d x}) + 12 y = 4

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

Solution steps

3 (\frac{d y}{d x}) + 12 y = 4

Solve separable ODE:

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

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

What is the solution for 3((dy)/(dx))+12y=4 ?
The solution for 3((dy)/(dx))+12y=4 is y=-(e^{-4x-c_{1}})/3+1/3