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

The solution for (dy)/(dx)=(3x+2y)/(3x+2y+2) is y=(2\W(1/(4e^{(-25x-c_{1))/4}})-3)/(5)-(3x)/2

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

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

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 25 x - c _{1}}{4}}} ) - 3}{5} - \frac{3 x}{2}

Solution steps

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

Solve using substitution:

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 25 x - c _{1}}{4}}} ) - 3}{5} - \frac{3 x}{2}

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 25 x - c _{1}}{4}}} ) - 3}{5} - \frac{3 x}{2}

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What is the solution for (dy)/(dx)=(3x+2y)/(3x+2y+2) ?
The solution for (dy)/(dx)=(3x+2y)/(3x+2y+2) is y=(2\W(1/(4e^{(-25x-c_{1))/4}})-3)/(5)-(3x)/2