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

The solution for (dy)/(dx)=2x-3y is y=(2(3x-1))/9+(c_{1})/(e^{3x)}

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

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

y = \frac{2 ( 3 x - 1 )}{9} + \frac{c _{1}}{e ^{3 x}}

Solution steps

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

Solve linear ODE:

y = \frac{2 ( 3 x - 1 )}{9} + \frac{c _{1}}{e ^{3 x}}

y = \frac{2 ( 3 x - 1 )}{9} + \frac{c _{1}}{e ^{3 x}}

4 e^{x} + 3 x e^{x}

4 (x + 2)^{\frac{3}{2}}

\frac{d}{d x} ((sin (x) + cos (x)) sec (x))

f (x) = 5 x + 4, at x = 1

\frac{d}{d x} (arctan (x) + arccos (x))

What is the solution for (dy)/(dx)=2x-3y ?
The solution for (dy)/(dx)=2x-3y is y=(2(3x-1))/9+(c_{1})/(e^{3x)}