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

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

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

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

y = \frac{3 x}{2} + \frac{3}{4} + \frac{c _{1}}{e ^{2 x}}

Solution steps

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

Solve linear ODE:

y = \frac{3 x}{2} + \frac{3}{4} + \frac{c _{1}}{e ^{2 x}}

y = \frac{3 x}{2} + \frac{3}{4} + \frac{c _{1}}{e ^{2 x}}

\frac{d}{d x} (1 0^{6} x^{2} e^{- x})

\frac{d}{d x} ((4 x + \frac{9}{x})^{2})

\frac{d}{d x} (e^{x} + e^{y})

\frac{d}{d x} (lo g_{10} (x^{2} + x + 1))

f (x) = \frac{2 x + 3}{3 x - 2}

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