What is the solution for (dy)/(dx)=x-2y+12 ?

The solution for (dy)/(dx)=x-2y+12 is y= x/2+23/4+(c_{1})/(e^{2x)}

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(dy)/(dx)=x-2y+12

\frac{d y}{d x} = x - 2 y + 12

y = \frac{x}{2} + \frac{23}{4} + \frac{c _{1}}{e ^{2 x}}

Solution steps

\frac{d y}{d x} = x - 2 y + 12

Solve linear ODE:

y = \frac{x}{2} + \frac{23}{4} + \frac{c _{1}}{e ^{2 x}}

y = \frac{x}{2} + \frac{23}{4} + \frac{c _{1}}{e ^{2 x}}

What is the solution for (dy)/(dx)=x-2y+12 ?
The solution for (dy)/(dx)=x-2y+12 is y= x/2+23/4+(c_{1})/(e^{2x)}