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

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

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

\frac{d y}{d x} = 2 x + 3 y - 1

y = - \frac{2 x}{3} + \frac{1}{9} + c_{1} e^{3 x}

Solution steps

\frac{d y}{d x} = 2 x + 3 y - 1

Solve linear ODE:

y = - \frac{2 x}{3} + \frac{1}{9} + c_{1} e^{3 x}

y = - \frac{2 x}{3} + \frac{1}{9} + c_{1} e^{3 x}

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