What is the solution for (dy)/(dx)=2x-3y,y(0)= 1/3 ?

The solution for (dy)/(dx)=2x-3y,y(0)= 1/3 is y=(2(3x-1))/9+5/(9e^{3x)}

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(dy)/(dx)=2x-3y,y(0)= 1/3

\frac{d y}{d x} = 2 x - 3 y, y (0) = \frac{1}{3}

y = \frac{2 ( 3 x - 1 )}{9} + \frac{5}{9 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{5}{9 e ^{3 x}}

y = \frac{2 ( 3 x - 1 )}{9} + \frac{5}{9 e ^{3 x}}

What is the solution for (dy)/(dx)=2x-3y,y(0)= 1/3 ?
The solution for (dy)/(dx)=2x-3y,y(0)= 1/3 is y=(2(3x-1))/9+5/(9e^{3x)}