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

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

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

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

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

Solution steps

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

Solve separable ODE:

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

y = \frac{e ^{\frac{- 2 + 2 c _{1} x}{x}}}{2} - \frac{3}{2}

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